Welcome! How wonderful that you are visiting! Feel free to look around. For those of you who do not know me yet, here a very brief introduction:
I am Niels Grobbe, my nationality is Dutch. I have been fascinated by nature and planet Earth since my first baby steps. Therefore, I am very happy to be a geophysicist, to be able to see what additional beauty lies beneath the Earth’s surface, in an attempt to better understand the fundamental processes that have shaped our current planet and will determine our future. My B.Sc. degree (Earth Sciences) and M.Sc. degree (Geophysics) both originate from Utrecht University. I have obtained my Ph.D. degree in (Applied) Geophysics from Delft University of Technology. In my Ph.D. research, I studied coupled seismo-EM phenomena, a fascinating topic where seismics, electromagnetics, and rock physics all meet! In September 2015, I joined Aramco Overseas Company B.V. as a Research Geophysicist. As much as I liked the team and the company, I discovered that my dream is to pursue an academic career, and I decided to follow my dreams. From October 1, 2016, I am a postdoctoral associate at MIT, holding a joint position in the Mathematics department and in the Earth Resources Laboratory (ERL). I am primarily working on seismic imaging and inversion.
For now, I hope you will enjoy exploring this website. If you have any questions or remarks, please do not hesitate to contact me. See you again soon, on this webpage or in real life! All the best! Niels.
Seismoelectric wave propagation movie, generated using ESSEMOD, showing the (amplitude normalized) P- and S- wave related coseismic fields propagating through a model containing a single layer embedded between two halfspaces. When the coseismic fields hit the interfaces, conversion takes place generating the seismoelectric interface response fields. The interface response fields are clearly visible when focusing on the S-waves, due to the source-receiver combination under consideration. The recorded fields are electric fields in the x1-direction due to a seismic dipole bulk force source in the same direction.
This fascinating phenomenon deals with the natural coupling that occurs between seismic and electromagnetic fields in porous media, due to an electrokinetic streaming potential as a result of the presence of an electrical double layer at the pore-fluid/mineral grain surface interface.
We can basically distinguish three types of coupling:
1. Coupling at the source: the impact of the seismic source generates directly an independent EM field, arriving more or less at $t=$0 on a seismic time scale.
2. Coupling due to wave propagation: the seismic wave introduces pore-fluid movement relative to the movement of the grains, generating a local EM field that copropagates within the seismic wave: the coseismic field. This EM field can only provide us with local information, at the location of the measurements.
3. Coupling at heterogeneities / interfaces: a second-order coupling effect due to asymmetry in the charge distribution, generating an independent EM field arriving more or less instantaneously at one-way seismic time, i.e. the seismic time from the source to the heterogeneity.
Schematic overview of the three stages of seismo-electromagnetic coupling. In green, the coupling at source impact generating an independent EM field, in black (in the seismo-electrogram), the coupling due to wave propagation generating the coseismic field, and in orange the coupling at heterogeneities generating an independent EM field. in
ESSEMOD - Electromagneto-Seismic and Seismo-Electromagnetic Layered-Earth Modeling code developed in a combined Fortran/C language, compatible with the Seismic Unix interface.
I work as a Postdoctoral Associate in the Imaging and
Computing group of
Prof. Laurent Demanet, in the Mathematics department of MIT. My key focus areas are seismic imaging and inversion.
During this postdoctoral position, I have developed a 2D time-domain finite-difference modeling code for modeling coupled seismo-electromagnetic phenomena. With this code, seismo-electromagnetic wave propagation can be modeled in complex media. It is also useful for testing interferometric applications. The project is funded as part of a Shell Global Solutions International B.V.-FOM (Dutch Foundation for Fundamental Research on Matter) Industrial Partnership Program called `Innovative Physics for oil and gas'. More information: fom.nl
Aramco Overseas Company B.V. (AOC) is a subsidiary of Saudi Aramco, the state-owned oil company of the Kingdom of Saudi Arabia. The Global Research Center Delft is an international satellite research center specializing in seismic data processing and imaging. More information: aramcooverseas.com
During my time at Aramco, I have successfully passed my probation period. I have acquired amazing technological skills and I have gained a lot of additional insight into the oil- and gas industry, their challenges and demands, the way their systems work, their short- and long-term research visions, and their current core research interests. Additionally, it further strengthened my team-working skills. However, I also discovered that my dream is to pursue an academic career. Therefore, I decided to leave this wonderful company, to fully focus on my academic career.
SEG AM 2015 New Orleans: Niels Grobbe being awarded the 'Award of Merit for Best Student Paper' presented at the SEG 2014 Annual Meeting in Denver.
SEG AM 2015 New Orleans: Niels Grobbe receiving his 'Award of Merit for Best Student Paper' presented at the SEG 2014 Annual Meeting in Denver.
Niels Grobbe receiving recognition by the Aramco Overseas Company B.V. Managing Director, for winning an SEG award.
In the field of exploration geophysics various methods are applied to determine the physical properties of the subsurface of the
Earth. Some of the methods most widely used are seismic and electromagnetic surveys, which are each used according to the type of
information that is being sought and their ability to provide that information. The method of seismoelectrics is in that regard a
promising technique because theoretically it should be sensitive to a wide range of subsurface parameters, spanning both the
acoustic and the electromagnetic methods. We aim to perform a parameter sensitivity analysis for the seismoelectric problem,
investigating how perturbations in different parameters affect the data and how well these perturbations can be inverted for. We
will first study some elements of inverse theory with a special focus on how to construct resolution functions from the basic
integral equation of scattering theory. This integral equation can be derived using both superposition and reciprocity principles.
This will be shown for both the electromagnetic and the acoustic case, before moving on to the seismoelectric case; it will become
clear that the latter poses additional challenges. In addition, the results for the electromagnetic case can be compared directly
with the results obtained by [Slob and Mulder, 2011] who performed an electromagnetic parameter sensitivity analysis. The results of
this comparison could serve as a validation of the seismoelectric forward modelling code ESSEMOD [Grobbe and Slob, 2013], which will
be used to generate synthetic data for this thesis. It is concluded that the superposition principle and the reciprocity theorem
provide identical expressions for a scattered field. This conclusion was the basis for deriving the complete reciprocity theorem for
the seismoelectric system, which was in turn used to derive resolution functions for a perturbation in bulk density and a
perturbation in the seismoelectric coupling coefficient. For the electromagnetic case, we show that the resolution functions
computed, using explicit analytical Green's function solutions are identical to resolution functions computed with data produced by
ESSEMOD and that this indeed serves as a validation of ESSEMOD. Using the same approach, we have successfully computed a resolution
function for inversion for the coupled seismoelectric system for a perturbation in bulk density. It is recommended that this
innovative result is used as the basis for the analysis of the seismoelectric sensitivity to more complex parameter-contrasts, which
could serve as an assessment of the true potential of the seismoelectric method.
Seismic and electromagnetic imaging methods both provide the geophysicist with different types of medium parameters. Seismic methods are sensitive to the elastic properties of the medium, while electromagnetic methods are sensitive to the electric properties. In porous-saturated media, these two wave fields occur as a coupled system, which is known as 'seismoelectrics'. This coupling is caused by physical interactions at the grain surface boundary and is a function of several medium parameters, such as dynamic permeability. This medium parameter is valuable to the oil and gas industry, as well to the field of hydrology. By conducting a seismoelectric survey it would theoretically be possible to provide an extra control on this medium parameter. However, both practice and theory have shown that this coupling mechanism also results in a low signal-to-noise ratio. A possible solution to this problem would be to apply interferometric Green's retrieval, which is a technique based on stacking of cross-correlated data. This approach has been proved successful for the SH-TE mode in 1D. The SH-TE mode forms together with the P-SV-TM mode, the total seismoelectric system. In this thesis the first steps are taken towards the proof that this technique could also work for the P-SV-TM mode of the system. This is supported by a modelling experiment of 2D homogeneous space solutions of the seismoelectric P-SV-TM mode for different configurations. This analysis turned out that the unwanted artefacts observed in the interferometric retrieval are generated by cross-correlations between P-waves and SV-waves.
Elastodynamic and electromagnetic processes are coupled together in saturated, porous media, by a phenomenon known as the electrokinetic effect. In horizontally layered media, the seismoelectric system, which contains the coupled elastodynamic and electromagnetic systems, can be separated into two independent modes of propagation: SH-TE and P-SV-TM. The SH-TE mode contains horizontally polarized shear waves coupled with transverse electric polarized electromagnetic waves. In the P-SV-TM mode, both fast and slow compressional waves are coupled with vertically polarized shear waves and transverse magnetic polarized electromagnetic waves. In this thesis, the P-SV-TM mode of the two-dimensional seismoelectric system was expressed in the form of both the two-way and one-way wave equations. The principle of normalizing energy flux across boundaries was applied, improving the matrix amplitude balance of the system and allowing for the implementation of one-way reciprocity theorems. We carried out full-waveform modelling of the flux-normalized P-SV-TM seismoelectric system in a 2-D fluid-saturated, horizontally-stratified, porous media. Both one-way and two-way wavefields were modelled, allowing the composition of one-way wavefields into two-way wavefields to be clearly observed. We investigated both the generation of electromagnetic fields due to the propagation of a seismic pertubation and the generation of seismic waves due to the propagation of a diffusive electromagnetic wave. Reciprocity of the wavefields was verified by applying reciprocity theorems to both one-way and two-way wave vectors. The electromagnetic field that is created when a seismic wave traverses a contrast in medium parameters is rapidly attenuated during propagation. To mitigate the decay in the amplitude of the signal with distance, we modelled a Vertical ElectroSeismic Profiling (VESP) survey, in which receivers could be placed in near proximity to the target layer. In another model, the sensitivity of the seismoelectric method to pore fluid contrasts was tested by simulating the influx of contaminants into an aquifer. It was observed that a small change in the conductivity of the aquifer led to a significant change in the strength of the electromagnetic signal that was generated at the top of the aquifer.
Abstract:We study the accuracy and numerical stability of three eigenvector sets for modelling the
coupled poroelastic and electromagnetic layered-Earth response.We use a known eigenvector
set, its flux-normalized version and a newly derived flux-normalized set. The new set is chosen
such that the system is properly uncoupled when the coupling between the poroelastic and
electromagnetic fields vanishes. We carry out two different numerical stability tests: the first
test focuses on the internal system, eigenvector and eigenvalue consistency; the second test
investigates the stability and preciseness of the flux-normalized systems by looking at identity
relations. We find that the known set shows the largest deviation for both tests, whereas the
new set performs best. In two additional numerical modelling experiments, these numerical
inaccuracies are shown to generate numerical noise levels comparable to small signals, such
as signals coming from the important interface conversion responses, especially when the
coupling coefficient is small. When coupling vanishes completely, the known set does not
produce proper results. The new set produces numerically stable and accurate results in all
situations. We therefore strongly recommend to use this newly derived set for future layered-
Earth seismo-electromagnetic modelling experiments.
Download supplementary material
Abstract:We study if nature
can help us overcome the very low signal-to-noise ratio of seismo-electromagnetic converted fields by investigating the effects of
thin-bed geological structures on the seismo-electromagnetic signal. To investigate the effects of bed thinning on the
seismo-electromagnetic interference patterns, we numerically simulate seismo-electromagnetic wave propagation through horizontally
layered media with different amounts and thicknesses of thin beds. We distinguish two limits of bed thickness. Below the upper
limit, the package of thin beds starts acting like an “effective” medium. Below the lower limit, further thinning does not affect
the seismo-electromagnetic interface response signal strength anymore. We demonstrate seismo-electromagnetic sensitivity to changes
in medium parameters on a spatial scale much smaller than the seismic resolution. Increasing amounts of thin beds can cause the
interface response signal strength to increase or decrease. Whether constructive or destructive interference occurs seems to be
dependent on the seismo-electromagnetic coupling coefficient contrasts. When the combined result of the contrast, between upper
half-space and package of thin beds and the internal thin-bed contrast, is positive, constructive interference occurs. Destructive
interference occurs when the combined contrast is negative. Maximum amplitude tuning occurs for thicknesses of thin-bed packages
similar to the dominant pressure and shear wavelengths. Artifacts due to model periodicity are excluded by comparing periodic media
with random models. By simulating moving oil/water contacts during production, where the oil layer is gradually being thinned,
seismo-electromagnetic signals are proven very sensitive to oil/water contacts. An oil layer with a thickness of less than one
percent of the dominant shear wavelength is still recognized.
Abstract:Wavefield decomposition forms an important ingredient of various geophysical methods. An example of wavefield decomposition is the decomposition into upgoing and downgoing wavefields and simultaneous decomposition into different wave/field types. The multi-component field decomposition scheme makes use of the recordings of different field quantities (such as particle velocity and pressure). In practice, different recordings can be obscured by different sensor characteristics, requiring calibration with an unknown calibration factor. Not all field quantities required for multi-component field decomposition might be available, or they can suffer from different noise levels. The multi-depth-level decomposition approach makes use of field quantities recorded at multiple depth levels, e.g., two horizontal boreholes closely separated from each other, a combination of a single receiver array combined with free-surface boundary conditions, or acquisition geometries with a high-density of vertical boreholes. We theoretically describe the multi-depth-level decomposition approach in a unified form, showing that it can be applied to different kinds of fields in dissipative, inhomogeneous, anisotropic media, e.g., acoustic, electromagnetic, elastodynamic, poroelastic, and seismoelectric fields. We express the one-way fields at one depth level in terms of the observed fields at multiple depth levels, using extrapolation operators that are dependent on the medium parameters between the two depth levels. Lateral invariance at the depth level of decomposition allows us to carry out the multi-depth-level decomposition in the horizontal wavenumber–frequency domain. We illustrate the multi-depth-level decomposition scheme using two synthetic elastodynamic examples. The first example uses particle velocity recordings at two depth levels, whereas the second example combines recordings at one depth level with the Dirichlet free-surface boundary condition of zero traction. Comparison with multi-component decomposed fields shows a perfect match in both amplitude and phase for both cases. The multi-depth-level decomposition scheme is fully customizable to the desired acquisition geometry. The decomposition problem is in principle an inverse problem. Notches may occur at certain frequencies, causing the multi-depth-level composition matrix to become uninvertible, requiring additional notch filters. We can add multi-depth-level free-surface boundary conditions as extra equations to the multi-component composition matrix, thereby overdetermining this inverse problem. The combined multi-component–multi-depth-level decomposition on a land data set clearly shows improvements in the decomposition results, compared with the performance of the multi-component decomposition scheme.
Abstract:We designed and developed an experimental setup in which acoustic to
electromagnetic (EM) wave conversions at interfaces can be measured.
Theoretical results are obtained with an electrokinetic full-waveform theoretical
model, where use was made of the Sommerfeld approach. Using
bimodal samples, different fluid–solid interface effects and saturating fluids
were investigated. The contrast between water and water-saturated porous
glass samples is larger than the contrast between water and oil-saturated
porous glass samples. The contrast between water and water-saturated
Fontainebleau sandstone is larger than the contrast between oil and watersaturated
Abstract:We experimentally validate a relatively recent electrokinetic formulation of the streaming potential (SP) coefficient as developed by Pride (1994). The start of our investigation focuses on the streaming potential coefficient, which gives rise to the coupling of mechanical and electromagnetic fields. It is found that the theoretical amplitude values of this dynamic SP coefficient are in good agreement with the normalized experimental results over a wide frequency range, assuming no frequency dependence of the bulk conductivity. By adopting the full set of electrokinetic equations, a full-waveform wave propagation model is formulated. We compare the model predictions, neglecting the interface response and modeling only the coseismic fields, with laboratory measurements of a seismic wave of frequency 500 kHz that generates electromagnetic signals. Agreement is observed between measurement and electrokinetic theory regarding the coseismic electric field. The governing equations are subsequently adopted to study the applicability of seismoelectric interferometry. It is shown that seismic sources at a single boundary location are sufficient to retrieve the 1D seismoelectric responses, both for the coseismic and interface components, in a layered model.
Abstract:We here explore
the application of interferometric principles to the coupled seismo-electromagnetic system. We consider 2D homogeneous space
scenarios, and focus on one of the two seismo-electromagnetic propagation modes, the SH-TE mode, where horizontally polarized
shear-waves are coupled to the transverse electric mode. We start by presenting the theory for retrieving seismo-electromagnetic
Green’s function responses via interferometry by cross-correlation. Using explicit homogeneous space solutions, we numerically
investigate the interferometric retrieval of an electric field response and a magnetic field response due to a seismic source. We
first study the theoretically desirable circular source configuration, providing illumination from all sides, followed by a more
realistic line source configuration, exploiting the interferometric far-field approximation. These two numerical examples prove for
the selected source-receiver type combinations, that we can indeed retrieve correct dynamic seismo-electromagnetic 2D SH-TE
responses using seismic boundary sources only. This is a promising result for the next step: applying 3D seismo-electromagnetic
interferometry in the field.
Download Extended Abstract
Abstract:The seismoelectric effect where acoustic/seismic waves are converted into electromagnetic waves and vice versa, is of importance for hydrocarbon exploration as it is complementary to the conventional seismic surveys. Also for the detection of orebodies (for example massive sulfides), seismoelectric techniques are promising. For hydrological purposes, seismoelectric techniques can provide us with information as well, mapping for example water tables and water-retentive layers. Also for mapping of water-bearing strata beneath glaciers or monitoring of ice fracturing, seismoelectric methods are argued to be very powerful as they can distinguish between conductive and non-conductive layers that have similar acoustic impedances and thus cannot be mapped in conventional seismic surveys.
We designed and developed an experimental setup in which acoustic to electromagnetic (EM) wave conversions at interfaces can be measured. Theoretical results are obtained with an electrokinetic full-waveform theoretical model, where use was made of the Sommerfeld approach. Using bimodal samples, different fluid-solid interface effects and saturating fluids were investigated. The contrast between water and water-saturated porous glass samples is larger than the contrast between water and oil-saturated porous
glass samples. The contrast between water and water-saturated Fontainebleau sandstone is larger than the contrast between oil and water-saturated Fontainebleau sandstone. These data are shown to be in good agreement with theoretical predictions on the basis of the Biot-Pride theory.
industrial and societal challenges demand a continuous need for improved imaging methods. In recent years, quite some research has
been performed on using seismoelectric phenomena for geophysical exploration and imaging. Like the other methods, the seismoelectric
technique also has its drawbacks. Besides the fact that the physical phenomenon is very complex, one of its main challenges is the
very low signal-to-noise ratio of the coupled signals, especially the second-order interface response fields. From seismics, it is
well-known that anonamously high amplitudes can arise due to amplitude-tuning effects which can occur when a seismic signal travels
through a package of thin-layers with appropriate amplifying thickness. Using numerical seismoelectric wave propagation experiments
through packages of thin-beds, we show that thin-bed geological settings can improve the signal-to-noise ratio of the interface
response fields. Whether a certain package of thin-beds results in a net strengthening or weakening of the signal, is determined by
the contrast in and the order of the coupling coefficients of the different thin-layer media. Formulated differently, we show that
the seismoelectric method is sensitive to the medium parameters of thin-bed geological structures far below the seismic resolution,
and that due to natural strengthening of the seismoelectric interface response signal, the method might be already suitable for
certain geological settings.
seismoelectric effect can be of importance for hydrocarbon exploration as it is complementary to conventional seismics. Besides
enabling seismic resolution and electromagnetic sensitivity at the same time, the seismoelectric method can also provide us with
additional, high-value information like porosity and permeability. However, very little is still understood of this complex physical
phenomenon. Therefore, it is crucial to be able to perform numerical modeling experiments to carefully investigate the effect and
the parameters that play a role. Over the last couple of years, several seismoelectric laboratory experiments have been carried out
in an attempt to validate the underlying theory of the phenomenon and to better understand this complex physical phenomenon. We have
recently extended our analytically based, numerical seismoelectric modeling code ’ESSEMOD’ to be able to model seismoelectric wave
propagation in arbitrarily layered Earth geometries with fluid / porous medium / (fluid) interfaces. In this way, we are capable of
effectively simulating full seismoelectric wave propagation, i.e. all existing seismoelectric and electroseismic source-receiver
combinations, in typical laboratory configura- tions. We present the underlying theory that is required for the extension towards
arbitrary fluid / porous medium / (fluid) geometries and an effective way to incorporate this in a general seismoelectric layered
Earth modeling code. We then validate the underlying global reflection scheme by comparing it with an independently developed
layered Earth modeling code for purely electromagnetic fields. The results show a perfect match in both amplitude and phase,
indicating that ESSEMOD is correctly modeling the electromagnetic parts of the seismoelectric wave propagation in horizontally
layered media with fluid / porous medium / fluid transitions. We finalize with a seismoelectric reciprocal modeling experiment,
proving that also the full seismoelectric wave propagation through fluid / porous medium transitions is modeled
Abstract:Separation of recorded wavefields into downgoing and upgoing constituents is a technique that is used in many geophysical methods. The conventional, multi-component (MC) wavefield decomposition scheme makes use of different recorded wavefield components. In recent years, land acquisition designs have
emerged that make use of shallow horizontal downhole sensor arrays. Inspired by marine acquisition
designs that make use of recordings at multiple depth levels for wavefield decomposition, we have
recently developed a multi-depth level (MDL) wavefield decomposition scheme for land acquisition.
Exploiting the underlying theory of this scheme, we now consider conventional, multi-component (MC)
decomposition as an inverse problem, which we try to constrain in a better way. We have overdetermined
the inverse problem by adding an MDL equation that exploits the Dirichlet free-surface boundary
condition. To investigate the successfulness of this approach, we have applied both MC and combined
MC-MDL decomposition to a real land dataset acquired in Annerveen, the Netherlands. Comparison of the
results of overdetermined MC-MDL decomposition with the results of MC wavefield decomposition,
clearly shows improvements in the obtained one-way wavefields, especially for the downgoing fields.
Abstract:We have developed an analytically based, energy flux-normalized numerical
modeling code (ESSEMOD), capable of modeling the wave propagation of all existing ElectroSeismic and SeismoElectric source-receiver
combinations in horizontally layered configurations. We compare the results of several of these modeled source-receiver combinations in a homogeneous medium with explicitly derived homogeneous space Green’s function solutions, in order to be able to validate the results of ESSEMOD both in arrival times and amplitudes. Especially the amplitudes are important due to the fact that the main reason seismoelectric phenomena are not yet used in industry, are the weak amplitudes of these phenomena. Here we show that ESSEMOD correctly models the wave propagation of components of the electric field generated by different components of bulk forces, as well as the particle velocity fields generated by a bulk force source and an electric current source. We are capable of validating both amplitudes and arrival times of the results of ESSEMOD for all electroseismic and seismoelectric source-receiver combinations in homogeneous media. Herewith, we reduce uncertainty in our modeling results (also for heterogeneous scenarios) and can get better insights in which parameters affect the amplitudes most. In addition, we show that ESSEMOD is capable of modeling reciprocal source-receivers combinations correctly, implicitly indicating correct modeling of both geometrical configurations (source located above or below the receiver level). ESSEMOD can now be used for comparison with and validation of existing seismoelectric layered earth numerical modeling codes. Afterwards, ESSEMOD can be used for validation of existing seismoelectric finite-element and finite-difference codes.
Abstract:We present a novel method to transform seismic data with sources at the surface and receivers above and below a selected target zone in the subsurface into virtual data with sources and receivers located at the initial receiver locations. The method is based on inverting a series of multidimensional equations of the
convolution- and the correlation-type. The required input data can be computed from surface seismic data
with a new iterative scheme that is currently being developed. The output data contains virtual sources that
illuminate the target not only from above (as in the original data), but also from below, facilitating the
needs of seismic imaging and inversion in an optimal way. The method is nonlinear in the sense that all
internal multiples are correctly accounted for and true amplitude in the sense that the virtual sources are
forced to inherit uniform radiation patterns even though the overburden is strongly heterogeneous.
Abstract:We present a numerical code (ESSEMOD) for modeling electroseismic and seismoelectric wave propagation in horizontally layered configurations. As the basis for the code, we have first split the SH-TE mode from the P- SV-TM mode and used an energy flux-normalized system of two-way equations decomposed into upgoing and downgoing fields. Using this flux-normalized system enables the usage of the transpose of the composition matrix as the inverse of the composition matrix (being the decomposition matrix). This leads to a faster and computation- ally less expensive numerical code. Furthermore, flux-normalization leads to a more stable numerical scheme due to the fact that the numerical inverse of the composition matrices can be avoided. The mode splitting is achieved by decoupling the coupled system of 12 governing equations into a coupled system of 8 equations, describing the P-SV-TM propagation mode, and an independently coupled system of 4 equations, describing the SH-TE propaga- tion mode. At the source level, the two-way wavefields are decomposed into upgoing and downgoing wavefields, which are extrapolated via one-way wavefield extrapolation operators in the horizontal wavenumber-frequency domain. The code makes use of global reflection coefficients, leading to an efficient numerical scheme due to the fact that explicit calculation of the scattering matrices is not required. The recursive scheme requires a one-way trip from the bottom interface up to the source level and a similar one-way trip from the top interface down to the source level, where the two are connected by satisfying the pertaining boundary conditions. Because the receiver is known when the computations start, the field at the receiver level is updated when the recursive scheme passes the receiver level and moves on to the source level. The upgoing and downgoing wavefields generated at the source level, are extrapolated to the receiver layer. Here, the wavefields are multiplied with the corresponding global re- flection matrices to obtain the full upgoing and downgoing wavefields at the receiver level. The two seismoelectric propagation modes are modeled independently. Before the inverse Fourier-Bessel transformation can be carried out at the receiver level, wavefield composition takes place and here the SH-TE and P-SV-TM propagation modes are combined, resulting in two-way wavefields due to two-way sources. The resulting Fourier-Bessel transformation is then computed. The sources and receivers can be placed anywhere in the model, even on interfaces. Furthermore, modeling of all existing seismoelectric (electroseismic) two-way source-receiver combinations is possible. Several modeling results will be presented, placing the sources and receivers at different depth levels. Placing the sources and/or receivers in the near-fields, enables us to study the interface waves. Acknowledgements: This research was funded as a Shell-FOM (Foundation for Fundamental Research on Matter) project within the research program ’Innovative physics for oil and gas’.
When a mechanical wavefield propagates through a porous, fluid-filled medium, a complex physical phenomenon called the
seismoelectric effect can occur. Due to the presence of an electrical double layer at the microscale, coupling between the mechanical wavefield
and electromagnetic fields can occur. Pride (1994) has developed a set of governing equations that describes the seismoelectric effect using Biot’s poroelasticity equations coupled to Maxwell’s electromagnetic equations. Coupling effectively takes place at two locations:
1) Inside the seismic wavefield, copropagating with the seismic wave velocity and therefore referred to as the coseismic field.
This field provides us with local information in the vicinity of the receivers.
2) At locations where contrasts in medium parameters occur (for example interfaces) an independently diffusing electromagnetic
field is generated, referred to as the interface response field or seismoelectric conversion. The seismoelectric method tries to take advantage of this subsurface coupling as a geophysical tool for exploration or monitoring purposes, as well as for borehole applications. Besides providing us with seismic resolution and electromagnetic fluid–sensitivity at the same time, several studies have also shown that seismoelectric fields can provide us with supplemental information about porosity, permeability and pore-fluid properties such as viscosity. The seismoelectric method can potentially be used for the detection and monitoring of oil/water contacts, several (near–)borehole applications and the monitoring of aquifers.
However, the seismoelectric effect is described by a combination of many (often mutually related) subsurface parameters.
Therefore, inversion of seismoelectric data for a specific parameter is costly and solving for such a parameter uniquely might
be even impossible. By carrying out sensitivity analyses prior to inversion, we can investigate whether the measured fields are actually sensitive to the parameter(s) of interest. In addition, sensitivity analyses can provide information about the optimal acquisition
design or help us investigating time–lapse perturbations. We will start by explaining the theory of resolution functions using a seismoelectric example. We will derive the seismoelectric resolution function for inversion for a bulk density contrast. We
will compute this resolution function as the least-squares solution to the normal equation. We will demonstrate the effectiveness of this method by first carrying out a purely electromagnetic sensitivity analysis for a point perturbation in conductivity. These results will be compared with literature results. As a next step, we investigate the electromagnetic sensitivity to point scatterers above and below highly conductive layers. Finally, we will present the results of the fully–coupled seismoelectric sensitivity analysis for a bulk density contrast, using single–frequency multicomponent line data.
Abstract:For multi-parameter problems, such as the seismoelectric system, sensitivity analysis through resolution functions is a low-cost, fast method of determining whether measured fields are sensitive to certain subsurface parameters. We define a seismoelectric resolution function for the inversion of a bulk density perturbation. The synthetic data and Green’s functions required to construct the resolution function are computed using the seismoelectric modelling code ESSEMOD. First, we consider the purely electromagnetic problem with a conductivity perturbation at a single point in an isotropic homogenous
half-space. The result is nearly identical to a published result based on analytical Green’s functions. It correctly maps the
position of the scatterer. Next, we perform an electromagnetic sensitivity analysis for the case of a layered background medium.
Again, the resolution function is capable of correctly mapping the scatterer when it is above as well as below a layer of increased
conductivity; although in the latter case with less resolution. Finally, we generate multi-component synthetic data with our forward
modelling code and compute the seismoelectric resolution function for inversion of a bulk-density perturbation. We find that the
seismoelectric system is sensitive to a perturbation in bulk density and that the position of the perturbation can be correctly
The seismoelectric effect might help improving our knowledge of the subsurface. This complex physical phenomenon can be described by Biot’s poroelasticity equations coupled to Maxwell’s electromagnetic equations. Besides simultaneously offering seismic resolution and electromagnetic sensitivity, the coefficient coupling these two types of fields can in principal provide us with direct information on important medium parameters like porosity and permeability.
Two types of seismoelectric coupling can be distinguished:
1) localized coupling generating an electromagnetic field that is present inside the seismic wave and travels with its velocity, referred to as the coseismic field
2) An independent electromagnetic field diffusing with electromagnetic velocity, referred to as the seismoelectric conversion, providing us with information at depth.
One of the major challenges of seismoelectrics is the very weak signal-to-noise ratio of especially the seismoelectric conversion. In order to make seismoelectrics applicable in the field, we need to find ways to improve the signal-to-noise ratio of this second order effect. Can nature help us? It is well-known that a seismic wave travelling through a package of thin-beds, can experience amplitude-tuning effects that result in anomalously high amplitudes for the seismic signal. Can similar enhancing signal effects occur for seismoelectric phenomena?
Using our analytically based, numerical modeling code ESSEMOD (ElectroSeismic and Seismoelectric Modeling), we investigate what effects thin-beds can have on the seismoelectric signal, thereby focusing especially on the seismoelectric conversion. We will highlight the factors that play a role in the possible enhancement of the seismoelectric signal-to-noise ratio by thin-beds. We show that the seismoelectric method is sensitive to changes in medium parameters on a spatial scale that is much smaller than the seismic resolution.
Acknowledgements: This research was funded as a Shell-FOM (Foundation for Fundamental Research on Matter) project within the research program ’Innovative physics for oil and gas’.
The theory of coupled elastic waves and electromagnetic fields in porous media exists for two decades. Several modeling codes have been developed and some field work has been carried out with mixed success. Modeling the so-called electroseismic and seismo-electromagnetic wavefields is tricky because of the strong elastic fields generated by mechanical sources and strong electromagnetic fields generated by electromagnetic sources, while the coupled fields have relatively small amplitudes. A second difficulty is the fact that the elastic field is essentially a wavefield, while the electromagnetic field is a diffusive field. The slow P-wave is usually also a diffusive field depending on the frequency bandwidth of the data. On the other hand, for porous soils and rocks, laboratory measurements have been carried out to experimentally validate the current theoretical model and to some extent this has been successful. To be able to understand measured data it is crucially important that we have good control on the accuracy of modeled data. Today we don’t have this control, which makes it hard to judge the quality of the modeled data and trust the experimental validation of the theory. It is therefore important that exact solutions are found to validate modeling codes in simple configurations. These modeling codes can then numerically validate the theory by matching the results obtained in laboratory or field experiments. The simplest configuration is the homogeneous space and we show exact solutions for the governing equations for point sources and point receivers. These Green’s functions are obtained for any type of point source and any type of receiver. We reduce the coupled equations to two scalar equations for the electric field and the particle velocity vectors. Solutions for longitudinal and transverse waves are obtained separately and these are combined to obtain the Green’s functions for the electric field and the particle velocity, from which the solutions for all other fields are found. We show numerical examples of the fields that can be measured in the field.
We present a new approach to apply wavefield decomposition, illustrated for an energy flux-normalized elastodynamic case. We start
by considering a situation where two horizontal boreholes are closely separated from each other. By recording only the particle
velocities at both depth levels (for example with conventional 3-component geophones) and expressing the one-way wavefields at one
depth level in terms of the fields at the other depth level, an inverse problem can be formulated and solved. This new approach of
multi-depth level(MDL) wavefield decomposition is illustrated with a synthetic 2D finite difference example, showing correct one-way
wavefield retrieval. We then modify the methodology for a special case with a single receiver array just below a free surface, where
the problem is naturally constrained by the (Dirichlet) boundary condition at the free-surface. Again, it is shown that correct
elastodynamic wavefield decomposition takes place, for both P- and S-waves.
We present 3D SH-TE layered-Earth modeling results with ESSEMOD.
The investigations encompass both experimental and theoretical studies of coupling between electromagnetic and poroelastic fields. First, we experimentally investigate the streaming potential (SP) coefficient. This coefficient gives rise to the coupling of mechanical and electromagnetic fields. The normalized experiments and the theoretical amplitude results of this dynamic SP coefficient are in good agreement with each other. In addition, measurements of the dynamic permeability correlate well with the computed amplitude and phase as predicted by the model. Second, we have formulated a full-waveform electrokinetic wave propagation model. The model predictions are compared with laboratory measurements of a seismic wave of frequency 500kHz that generates electromagnetic signals. We hereby only focus on the coseismic fields and hence neglect the interface response. The measured coseismic electric field is accurately predicted by the model in terms of traveltime, waveform and amplitude, confirming the electrokinetic theory that underlies this model. Third, a novel application of electrokinetic prospecting is studied by computer simulations; seismoelectric interferometry. In seismics and electromagnetics, the principle of interferometry has already been proven to be beneficial for imaging purposes. Interferometry using coupled seismic and electromagnetic waves for imaging purposes, can provide both seismic resolution and information about the pore fluid content. A well-known challenge in seismoelectric field surveys is the weak interface response. Us- ing strong sources is one of the suggested solutions. However, this is not always possible and therefore it would be desirable to be able to use the principle of interferometry and hence to replace these strong sources by receivers. Interferometry implicitly stacks over many background sources, thus strong signals can possibly be obtained by recording sufficiently long to overcome the weak signal-to-noise ratio. Numerical examples show that in order to retrieve the 1-D coseismic and interface responses in a layered model correctly, the presence of only seismic sources at a single boundary location is sufficient.
Acknowledgements: The research was carried out at Delft University of Technology. It was partly performed un- der the financial support of Shell-FOM (Foundation for Fundamental Research on Matter) within the research programs ’The physics of fluids and sound propagation’ and ’Innovative physics for oil and gas’.
This poster presents a brief introduction to correlation-imaging with seismo-electromagnetic waves.
In this thesis, I study coupled poroelastic waves and electromagnetic fields in layered media. The focus is two-fold:1. Increase the
theoretical and physical understanding of the seismo-electromagnetic phenomenon by analytically-based numerical modeling.2.
Investigate the potential of seismo-electromagnetic interferometry.After presenting the governing equations that form the basis of
the theoretical framework, I capture this system into a matrix-vector representation of the wave equation. I first use literature
eigenvector sets, which I normalize with respect to power-flux. I then derive new, alternative power-flux normalized eigenvector
sets that I prove to be numerically more stable and accurate. The eigenvector sets form the basis of the analytically-based
numerical modeling code `ESSEMOD' that I developed to model seismo-electromagnetic wave/field propagation/diffusion in layered-Earth
media. The alternative eigenvector set models scenarios with no seismo-electromagnetic coupling correctly, where the literature
eigenvector sets fail. In addition, the alternative set properly deals with scenarios where both small amplitude signals and large
amplitude signals occur in the record, whereas the literature eigenvector sets result in noise levels masking the small events. The
same holds for scenarios with a small seismo-electromagnetic coupling coefficient. I design an effective global reflection scheme
that properly describes the primary and multiple reflections in the models. I implement the correct boundary conditions to account
for scenarios with a free-surface, and also for scenarios containing fluid/porous medium/fluid transitions. To transform all the
seismo-electromagnetic source-receiver combinations in a numerically effective way back from the horizontal wavenumber-frequency
domain to the space-frequency domain, I derive and implement explicit Fourier-Bessel transformations.I then validate the developed
modeling code in numerous ways. First of all, I compare the results of seismo-EM layer-code modeling in a homogeneous medium with
explicit homogeneous space Green's function expressions. This comparison provides a clear validation that the layer-code models the
dynamic responses in homogeneous scenarios correctly. Next, I check numerical consistency by carrying out reciprocity checks. I
study homogeneous space models, models containing a free-surface and models with interfaces.As a next step, I validate the modeling
results of seismo-EM layer-code modeling for typical seismo-electromagnetic laboratory configurations, i.e. models containing
fluid/porous medium/fluid transitions. I first compare the purely electromagnetic part of the seismo-EM layer-code with an
independently developed purely electromagnetic layered-Earth code. The results match perfectly in both phase and amplitude for full
transmission and pure reflection experiments, as well as for a combination of both. I then carry out a seismo-electromagnetic
reciprocity test for a fluid halfspace overlying a porous medium halfspace, proving that the coupled poroelastic and electromagnetic
fields are modeled consistently and yield the expected results.As a final validation step, I compare ESSEMOD with an independently
developed seismo-electromagnetic layered-Earth modeling code. The results display an almost perfect match in both phase and relative
amplitudes, and a constant amplitude correction factor of 4 needs to be applied to let the absolute amplitudes match.I then carry
out a small feasibility test to study the potential of the seismo-electromagnetic effect for exploration purposes. I investigate
different source-receiver combinations for the same model, and focus on the signal strength recorded at different distances from the
target depth level. I conclude that for the source-receiver combinations studied, the electric field due to a volume injection
monopole source, as well as the magnetic field due to a seismic bulk force source, yield the strongest converted signals. The
receiver-distance from the target of interest plays an important role in the signal measurability. The closer the receivers to the
target, the higher the signal strengths. However, when the receivers are located too close to the target, the coseismic reflected
fields can mask the interface response fields that we are mainly interested in.Next, I study if nature itself can help us to
overcome the very low signal-to-noise ratio of seismo-electromagnetic converted fields, by investigating the effects of thin-bed
geological structures on the seismo-electromagnetic signal. To investigate the effects of bed-thinning on the seismo-electromagnetic
interference patterns, I numericallysimulate seismo-electromagnetic wave propagation through horizontally layered media with
different amounts and thicknesses of thin-beds. I demonstrate seismo-electromagnetic sensitivity to changes in medium parameters on
a spatial scale much smaller than the seismic resolution. By simulating moving oil/water contacts duringproduction, where the oil
layer is gradually being thinned, seismo-electromagnetic signals are proven very sensitive to oil/water contacts.I now explore the
application of interferometric techniques to the seismo-electromagnetic system, which might eventually lead to an improved
signal-to-noise ratio of the weak converted fields.I derive the theory for interferometric retrieval of 2D SH-TE
seismo-electromagnetic Green's functions.Using both a circular source configuration and a line source configuration, I show that it
is possible to correctly retrieve the dynamic seismo-electromagnetic 2D SH-TE response in a homogeneous medium, using seismic
boundary sources only. Using seismo-EM layer-code data, I then show that it is also possible to correctly retrieve the direct shear
wave-related causal coseismic field in a homogeneous medium, in both phase and amplitude. To obtain a perfect match in absolute
amplitudes, I apply a single linear scaling factor. I finally carry out interferometric experiments in a model containing a single
interface at 800 m depth, proving that it is possible to correctlyretrieve all 2D SH-TE causal seismic-related direct and reflected
coseismic fields, as well as interface response fields, by cross-correlation interferometry, using seismic boundary sources
only.These results are promising for the application of 3D seismo-electromagnetic interferometry using seismo-EM layer-code
modeling, and later on, in the field.Next, I present an alternative way to effectively decompose fields into their up- and downgoing
components and different field types, using recordings at multiple depth levels. I present the theory of this MDL decomposition
scheme, followed by successful decomposition of synthetic elastodynamic data sets. I additionally study the implications of
laterally-varying media on the horizontal wavenumber-frequency domain MDL decomposition scheme.I demonstrate successful
decomposition, using an acoustic approximation and applying a combined multi-component / MDL decomposition approach, of a field data
set recorded in Annerveen, in the North of the Netherlands. I address how to effectively use the MDL decomposition scheme in a
unified fashion, applied to all wave phenomena including seismo-electromagnetic phenomena.I then make a step towards
seismo-electromagnetic inversion, presenting an effective way to carry out a seismo-electromagnetic sensitivity analysis using
resolution functions. I start by explaining the theory of resolution functions using a seismo-electromagnetic example. I define the
seismo-electromagnetic resolution function for inversion for a bulk density perturbation. I demonstrate the effectiveness of this
method by first carrying out a purely electromagnetic sensitivity analysis for a point perturbation in conductivity, located in an
isotropic homogeneous half-space. These results are compared with literature results based on analytical homogeneous space Green's
function expressions. The result using the seismo-EM layer-code is nearly identical to the literature result. The position of the
scatterer is correctly resolved. At the end of this section, I present the results of the fully-coupled seismo-electromagnetic
senstivity analysis for a bulk density contrast for a specific source-receiver combination, using single-frequency multi-component
line data. I show that the coupled seismo-electromagnetic system is sensitive to a perturbation in bulk density and that the
position of the perturbation can be correctly recovered.I finalize this thesis by discussing potential seismo-electromagnetic
applications, as well as by providing a brief outlook for future research.
Abstract: This book is currently still under development. The editors are Niels Grobbe (chief-editor), Andre Revil, Zhenya Zhu, and Evert Slob.