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Magnetotellurics (MT) is a geophysical method that is able to image the electrical conductivity structure of the subsurface by recording time series of natural electromagnetic (EM) field variations. During the data processing these time series are divided into small segments and for each segment spectral values are computed which are typically averaged in a statistical manner to obtain MT transfer functions. Unfortunately, the presence of man-made EM noise sources often deteriorates a significant amount of the recorded time series resulting in disturbed transfer functions. Many advanced processing techniques, e.g. robust statistics, pre-stack data selection or remote reference, have been developed to tackle this problem. The first two techniques reduce the amount of outliers and noise in the data whereas the latter approach removes noise by using data from another MT station. However, especially in populated regions the data processing is still quite challenging even with these approaches. In this thesis, I present two novel pre-stack data confinement and selection criteria for the detection of outliers and noise affected data based on (i) a distance measure of each data segment with regard to the entire sample distribution and (ii) the evaluation of the magnetic polarisation direction of all segments. The first criterion is able to remove data points that scatter around the desired MT distribution and furthermore it can, under some circumstances, even reject complete data cluster originating from noise sources. The second criterion eliminates data points caused by a strongly polarised magnetic signal. Both criteria have been successfully applied to many stations with different noise contaminations showing that they can significantly improve the transfer function estimation. The novel criteria were used to evaluate a MT data set from the Eastern Karoo Basin in South Africa. The corresponding field experiment is part of an extensive research programme to collect information of the current e.g. geological setting in this region prior to a potential shale gas exploitation. The aim was to investigate whether a three-dimensional (3D) inversion of the newly measured data fosters a more realistic mapping of physical properties of the target horizon. For this purpose, a comprehensive 3D model was derived by using all available data. In a second step, I analysed parameters of the target horizon, e.g. its conductivity, that are proxies for physical properties such as thermal maturity and porosity.
In der vorliegenden Arbeit werden verschiedene Experimente zur Untersuchung der elektrischen Leitfähigkeit von Sutur- und Kollisionszonen im Zusammenhang diskutiert, um die Möglichkeiten, die die moderne Magnetotellurik (MT) für das Abbilden fossiler tektonischer Systeme bietet, aufzuzeigen. Aus den neuen hochauflösenden Abbildern der elektrischen Leitfähigkeit können potentielle Gemeinsamkeiten verschiedener tektonischer Einheiten abgeleitet werden. Innerhalb der letzten Dekade haben sich durch die Weiterentwicklung der Messgeräte und der Auswerte- und Interpretationsmethoden völlig neue Perspektiven für die geodynamische Tiefensondierung ergeben. Dies wird an meinen Forschungsarbeiten deutlich, die ich im Rahmen von Projekten selbst eingeworben und am Deutschen GeoForschungsZentrum Potsdam durchgeführt habe. In Tabelle A habe ich die in dieser Arbeit berücksichtigten Experimente aufgeführt, die in den letzten Jahren entweder als Array- oder als Profilmessungen durchgeführt wurden. Für derart große Feldexperimente benötigt man ein Team von WissenschaftlerInnen, StudentInnen und technischem Personal. Das bedeutet aber auch, dass von mir betreute StudentInnen und DoktorandInnen Teilaspekte dieser Experimente in Form von Diplom-, Bachelor- und Mastersarbeiten oder Promotionsschriften verarbeitet haben. Bei anschließender Veröffentlichung der Arbeiten habe ich als Co-Autor mitgewirkt. Die beiliegenden Veröffentlichungen enthalten eine Einführung in die Methode der Magnetotellurik und gegebenenfalls die Beschreibung neu entwickelter Methoden. Eine allgemeine Darstellung der theoretischen Grundlagen der Magnetotellurik findet man zum Beispiel in Chave & Jones (2012); Simpson & Bahr (2005); Kaufman & Keller (1981); Nabighian (1987); Weaver (1994). Die Arbeit beinhaltet zudem ein Glossar, in dem einige Begriffe und Abkürzungen erklärt werden. Ich habe mich entschieden, Begriffe, für die es keine adäquate deutsche Übersetzung gibt oder die im Deutschen eine andere oder missverständliche Bedeutung bekommen, auf Englisch in der Arbeit zu belassen. Sie sind durch eine kursive Schreibweise gekennzeichnet.
The Barberton Greenstone Belt (BGB) in the northwestern part of South Africa belongs to the few well-preserved remnants of Archean crust. Over the last centuries, the BGB has been intensively studied at surface with detailed mapping of its surfacial geological units and tectonic features. Nevertheless, the deeper structure of the BGB remains poorly understood. Various tectonic evolution models have been developed based on geo-chronological and structural data. These theories are highly controversial and centre on the question whether plate tectonics - as geoscientists understand them today - was already evolving on the Early Earth or whether vertical mass movements driven by the higher temperature of the Earth in Archean times governed continent development.
To get a step closer to answering the questions regarding the internal structure and formation of the BGB, magnetotelluric (MT) field experiments were conducted as part of the German-South African research initiative Inkaba yeAfrica. Five-component MT data (three magnetic and two electric channels) were collected at ~200 sites aligned along six profiles crossing the southern part of the BGB. Tectonic features like (fossil) faults and shear zones are often mineralized and therefore can have high electrical conductivities. Hence, by obtaining an image of the conductivity distribution of the subsurface from MT measurements can provide useful information on tectonic processes.
Unfortunately, the BGB MT data set is heavily affected by man-made electromagnetic noise caused, e.g. by powerlines and electric fences. Aperiodic spikes in the magnetic and corresponding offsets in the electric field components impair the data quality particularly at periods >1 s which are required to image deep electrical structures. Application of common methods for noise reduction like delay filtering and remote reference processing, only worked well for periods <1 s. Within the framework of this thesis two new filtering approaches were developed to handle the severe noise in long period data and obtain reliable processing results. The first algorithm is based on the Wiener filter in combination with a spike detection algorithm. Comparison of data variances of a local site with those of a reference site allows the identification of disturbed time series windows for each recorded channel at the local site. Using the data of the reference site, a Wiener filter algorithm is applied to predict physically meaningful data to replace the disturbed windows. While spikes in the magnetic channels are easily recognized and replaced, steps in the electric channels are more difficult to detect depending on their offset. Therefore, I have implemented a novel approach based on time series differentiation, noise removal and subsequent integration to overcome this obstacle. A second filtering approach where spikes and steps in the time series are identified using a comparison of the short and long time average of the data was also implemented as part of my thesis. For this filtering approach the noise in the form of spikes and offsets in the data is treated by an interpolation of the affected data samples. The new developments resulted in a substantial data improvement and allowed to gain one to two decades of data (up to 10 or 100 s).
The re-processed MT data were used to image the electrical conductivity distribution of the BGB by 2D and 3D inversion. Inversion models are in good agreement with the surface geology delineating the highly resistive rocks of the BGB from surrounding more conductive geological units. Fault zones appear as conductive structures and can be traced to depths of 5 to 10 km. 2D models suggest a continuation of the faults further south across the boundary of the BGB. Based on the shallow tectonic structures (fault system) within the BGB compared to deeply rooted resistive batholiths in the area, tectonic models including both vertical mass transport and in parts present-day style plate tectonics seem to be most likely for the evolution of the BGB.
Tectonic and geological processes on Earth often result in structural anisotropy of the subsurface, which can be imaged by various geophysical methods. In order to achieve appropriate and realistic Earth models for interpretation, inversion algorithms have to allow for an anisotropic subsurface. Within the framework of this thesis, I analyzed a magnetotelluric (MT) data set taken from the Cape Fold Belt in South Africa. This data set exhibited strong indications for crustal anisotropy, e.g. MT phases out of the expected quadrant, which are beyond of fitting and interpreting with standard isotropic inversion algorithms. To overcome this obstacle, I have developed a two-dimensional inversion method for reconstructing anisotropic electrical conductivity distributions. The MT inverse problem represents in general a non-linear and ill-posed minimization problem with many degrees of freedom: In isotropic case, we have to assign an electrical conductivity value to each cell of a large grid to assimilate the Earth's subsurface, e.g. a grid with 100 x 50 cells results in 5000 unknown model parameters in an isotropic case; in contrast, we have the sixfold in an anisotropic scenario where the single value of electrical conductivity becomes a symmetric, real-valued tensor while the number of the data remains unchanged. In order to successfully invert for anisotropic conductivities and to overcome the non-uniqueness of the solution of the inverse problem it is necessary to use appropriate constraints on the class of allowed models. This becomes even more important as MT data is not equally sensitive to all anisotropic parameters. In this thesis, I have developed an algorithm through which the solution of the anisotropic inversion problem is calculated by minimization of a global penalty functional consisting of three entries: the data misfit, the model roughness constraint and the anisotropy constraint. For comparison, in an isotropic approach only the first two entries are minimized. The newly defined anisotropy term is measured by the sum of the square difference of the principal conductivity values of the model. The basic idea of this constraint is straightforward. If an isotropic model is already adequate to explain the data, there is no need to introduce electrical anisotropy at all. In order to ensure successful inversion, appropriate trade-off parameters, also known as regularization parameters, have to be chosen for the different model constraints. Synthetic tests show that using fixed trade-off parameters usually causes the inversion to end up by either a smooth model with large RMS error or a rough model with small RMS error. Using of a relaxation approach on the regularization parameters after each successful inversion iteration will result in smoother inversion model and a better convergence. This approach seems to be a sophisticated way for the selection of trade-off parameters. In general, the proposed inversion method is adequate for resolving the principal conductivities defined in horizontal plane. Once none of the principal directions of the anisotropic structure is coincided with the predefined strike direction, only the corresponding effective conductivities, which is the projection of the principal conductivities onto the model coordinate axes direction, can be resolved and the information about the rotation angles is lost. In the end the MT data from the Cape Fold Belt in South Africa has been analyzed. The MT data exhibits an area (> 10 km) where MT phases over 90 degrees occur. This part of data cannot be modeled by standard isotropic modeling procedures and hence can not be properly interpreted. The proposed inversion method, however, could not reproduce the anomalous large phases as desired because of losing the information about rotation angles. MT phases outside the first quadrant are usually obtained by different anisotropic anomalies with oblique anisotropy strike. In order to achieve this challenge, the algorithm needs further developments. However, forward modeling studies with the MT data have shown that surface highly conductive heterogeneity in combination with a mid-crustal electrically anisotropic zone are required to fit the data. According to known geological and tectonic information the mid-crustal zone is interpreted as a deep aquifer related to the fractured Table Mountain Group rocks in the Cape Fold Belt.
The Dead Sea Transform (DST) is a prominent shear zone in the Middle East. It separates the Arabian plate from the Sinai microplate and stretches from the Red Sea rift in the south via the Dead Sea to the Taurus-Zagros collision zone in the north. Formed in the Miocene about 17 Ma ago and related to the breakup of the Afro-Arabian continent, the DST accommodates the left-lateral movement between the two plates. The study area is located in the Arava Valley between the Dead Sea and the Red Sea, centered across the Arava Fault (AF), which constitutes the major branch of the transform in this region. A set of seismic experiments comprising controlled sources, linear profiles across the fault, and specifically designed receiver arrays reveals the subsurface structure in the vicinity of the AF and of the fault zone itself down to about 3-4 km depth. A tomographically determined seismic P velocity model shows a pronounced velocity contrast near the fault with lower velocities on the western side than east of it. Additionally, S waves from local earthquakes provide an average P-to-S velocity ratio in the study area, and there are indications for a variations across the fault. High-resolution tomographic velocity sections and seismic reflection profiles confirm the surface trace of the AF, and observed features correlate well with fault-related geological observations. Coincident electrical resistivity sections from magnetotelluric measurements across the AF show a conductive layer west of the fault, resistive regions east of it, and a marked contrast near the trace of the AF, which seems to act as an impermeable barrier for fluid flow. The correlation of seismic velocities and electrical resistivities lead to a characterisation of subsurface lithologies from their physical properties. Whereas the western side of the fault is characterised by a layered structure, the eastern side is rather uniform. The vertical boundary between the western and the eastern units seems to be offset to the east of the AF surface trace. A modelling of fault-zone reflected waves indicates that the boundary between low and high velocities is possibly rather sharp but exhibits a rough surface on the length scale a few hundreds of metres. This gives rise to scattering of seismic waves at this boundary. The imaging (migration) method used is based on array beamforming and coherency analysis of P-to-P scattered seismic phases. Careful assessment of the resolution ensures reliable imaging results. The western low velocities correspond to the young sedimentary fill in the Arava Valley, and the high velocities in the east reflect mainly Precambrian igneous rocks. A 7 km long subvertical scattering zone reflector is offset about 1 km east of the AF surface trace and can be imaged from 1 km to about 4 km depth. The reflector marks the boundary between two lithological blocks juxtaposed most probably by displacement along the DST. This interpretation as a lithological boundary is supported by the combined seismic and magnetotelluric analysis. The boundary may be a strand of the AF, which is offset from the current, recently active surface trace. The total slip of the DST may be distributed spatially and in time over these two strands and possibly other faults in the area.
Combined structural and magnetotelluric investigation across the West Fault Zone in northern Chile
(2002)
The characterisation of the internal architecture of large-scale fault zones is usually restricted to the outcrop-based investigation of fault-related structural damage on the Earth's surface. A method to obtain information on the downward continuation of a fault is to image the subsurface electrical conductivity structure. This work deals with such a combined investigation of a segment of the West Fault, which itself is a part of the more than 2000 km long trench-linked Precordilleran Fault System in the northern Chilean Andes. Activity on the fault system lasted from Eocene to Quaternary times. In the working area (22°04'S, 68°53'W), the West Fault exhibits a clearly defined surface trace with a constant strike over many tens of kilometers. Outcrop condition and morphology of the study area allow ideally for a combination of structural geology investigation and magnetotelluric (MT) / geomagnetic depth sounding (GDS) experiments. The aim was to achieve an understanding of the correlation of the two methods and to obtain a comprehensive view of the West Fault's internal architecture. Fault-related brittle damage elements (minor faults and slip-surfaces with or without striation) record prevalent strike-slip deformation on subvertically oriented shear planes. Dextral and sinistral slip events occurred within the fault zone and indicate reactivation of the fault system. Youngest deformation increments mapped in the working area are extensional and the findings suggest a different orientation of the extension axes on either side of the fault. Damage element density increases with approach to the fault trace and marks an approximately 1000 m wide damage zone around the fault. A region of profound alteration and comminution of rocks, about 400 m wide, is centered in the damage zone. Damage elements in this central part are predominantly dipping steeply towards the east (70-80°). Within the same study area, the electrical conductivity image of the subsurface was measured along a 4 km long MT/GDS profile. This main profile trends perpendicular to the West Fault trace. The MT stations of the central 2 km were 100 m apart from each other. A second profile with 300 m site spacing and 9 recording sites crosses the fault a few kilometers away from the main study area. Data were recorded in the frequency range from 1000 Hz to 0.001 Hz with four real time instruments S.P.A.M. MkIII. The GDS data reveal the fault zone for both profiles at frequencies above 1 Hz. Induction arrows indicate a zone of enhanced conductivity several hundred meters wide, that aligns along the WF strike and lies mainly on the eastern side of the surface trace. A dimensionality analysis of the MT data justifies a two dimensional model approximation of the data for the frequency range from 1000 Hz to 0.1 Hz. For this frequency range a regional geoelectric strike parallel to the West Fault trace could be recovered. The data subset allows for a resolution of the conductivity structure of the uppermost crust down to at least 5 km. Modelling of the MT data is based on an inversion algorithm developed by Mackie et al. (1997). The features of the resulting resistivity models are tested for their robustness using empirical sensitivity studies. This involves variation of the properties (geometry, conductivity) of the anomalies, the subsequent calculation of forward or constrained inversion models and check for consistency of the obtained model results with the data. A fault zone conductor is resolved on both MT profiles. The zones of enhanced conductivity are located to the east of the West Fault surface trace. On the dense MT profile, the conductive zone is confined to a width of about 300 m and the anomaly exhibits a steep dip towards the east (about 70°). Modelling implies that the conductivity increase reaches to a depth of at least 1100 m and indicates a depth extent of less than 2000 m. Further conductive features are imaged but their geometry is less well constrained. The fault zone conductors of both MT profiles coincide in position with the alteration zone. For the dense profile, the dip of the conductive anomaly and the dip of the damage elements of the central part of the fault zone correlate. This suggests that the electrical conductivity enhancement is causally related to a mesh of minor faults and fractures, which is a likely pathway for fluids. The interconnected rock-porosity that is necessary to explain the observed conductivity enhancement by means of fluids is estimated on the basis of the salinity of several ground water samples (Archie's Law). The deeper the source of the water sample, the more saline it is due to longer exposure to fluid-rock interaction and the lower is the fluid's resistivity. A rock porosity in the range of 0.8% - 4% would be required at a depth of 200 m. That indicates that fluids penetrating the damaged fault zone from close to the surface are sufficient to explain the conductivity anomalies. This is as well supported by the preserved geochemical signature of rock samples in the alteration zone. Late stage alteration processes were active in a low temperature regime (<95°C) and the involvement of ascending brines from greater depth is not indicated. The limited depth extent of the fault zone conductors is a likely result of sealing and cementation of the fault fracture mesh due to dissolution and precipitation of minerals at greater depth and increased temperature. Comparison of the results of the apparently inactive West Fault with published studies on the electrical conductivity structure of the currently active San Andreas Fault, suggests that the depth extent and conductivity of the fault zone conductor may be correlated to fault activity. Ongoing deformation will keep the fault/fracture mesh permeable for fluids and impede cementation and sealing of fluid pathways.