Incorporation of topography into two‐dimensional resistivity inversion

Lin, Tengjiao; Yang, Chia‐Ning

doi:10.1190/1.1442843

Cited by 53 publications

(43 citation statements)

References 10 publications

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“…The forward part of the 2-D inversion program used in this study is based on the finite element method and the inverse part is based on the least-squares optimization technique (deGrootHedlin and Constable 1990;Tong and Yang 1990;Loke and Barker 1996) …”

Section: Methodsmentioning

confidence: 99%

An Electric Resistivity Study of the Chelungpu Fault in the Taichung Area, Taiwan

Cheng¹,

Ger²,

Lee³

2008

Terr. Atmos. Ocean. Sci.

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We conducted an electric resistivity survey consisting of six resistivity image profilings and several resistivity measurements on outcrops of strata in the Taichung area to investigate the subsurface structures of the Chelungpu fault. Three magnetotelluric sounding results are added to infer rock formations at depth. Based on the resistivity measurements on outcrops of the strata and the correlations between the interpretative resistivity structures and the rock formations recognized from drilling cores and the outcrops of the strata, the resistivity spectra of rock formations are obtained, and the geological structures are deduced.The results indicate that the Chelungpu fault is a complex fault system consisting of two major thrusts and several minor faults in the Taichung area. The two major thrusts are the main shear zone in the west and the Chi-Chi earthquake rupture in the east of the fault system. They are 300 -800 m apart on the ground surface. The main shear zone dips eastwardly at an angle of 20° ~ 60° and has a cumulate throw of several thousands meters. The Chi-Chi earthquake rupture was developed in the Cholan Formation in shallow depth. It dips 40° ~ 60° eastwardly and has a cumulate throw of several tens of meters indicating faulting movements had occurred many times prior to the Chi-Chi earthquake. The Chi-Chi earthquake rupture may become the dominant active fault zone in the northern segment of the Chelungpu fault system.

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Section: Methodsmentioning

confidence: 99%

An Electric Resistivity Study of the Chelungpu Fault in the Taichung Area, Taiwan

Cheng¹,

Ger²,

Lee³

2008

Terr. Atmos. Ocean. Sci.

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“…Contrary to relevant works of Fox et al (1980), Tong & Yang (1990) showed that previous normalisation techniques cannot completely take into account all non-linear effects. They showed also that the best way to remove non linear effects is to integrate explicitly the topography in the model.…”

Section: D + Inversion Strategymentioning

confidence: 79%

Methodology Applied to the Diagnosis and Monitoring of Dikes and Dams

Fargier¹,

Fauchard²,

Mériaux³

et al. 2012

Novel Approaches and Their Applications in Risk Assessment

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“…There is significant topography along the survey line. The topography was incorporated into the inversion model using a distorted finiteelement grid such that the surface of the grid matches the actual topography (Tong and Yang, 1990;Silvester and Ferrari, 1990;Sasaki et al, 1992). The distribution of the model cells were initially made using the same method as for a model without topography.…”

Section: Rock Quality Survey Swedenmentioning

confidence: 99%

A comparison of the Gauss–Newton and quasi-Newton methods in resistivity imaging inversion

Loke

Dahlin

2002

Journal of Applied Geophysics

354

145

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A comparison of the Gauss-Newton and quasi-Newton methods in resistivity imaging inversionLoke, MH; Dahlin, Torleif General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.A comparison of the Gauss-Newton and quasi-Newton methods in resistivity imaging inversion AbstractThe smoothness-constrained least-squares method is widely used for two-dimensional (2D) and three-dimensional (3D) inversion of apparent resistivity data sets. The Gauss -Newton method that recalculates the Jacobian matrix of partial derivatives for all iterations is commonly used to solve the least-squares equation. The quasi-Newton method has also been used to reduce the computer time. In this method, the Jacobian matrix for a homogeneous earth model is used for the first iteration, and the Jacobian matrices for subsequent iterations are estimated by an updating technique. Since the Gauss -Newton method uses the exact partial derivatives, it should require fewer iterations to converge. However, for many data sets, the quasi-Newton method can be significantly faster than the Gauss -Newton method. The effectiveness of a third method that is a combination of the GaussNewton and quasi-Newton methods is also examined. In this combined inversion method, the partial derivatives are directly recalculated for the first two or three iterations, and then estimated by a quasi-Newton updating technique for the later iterations. The three different inversion methods are tested with a number of synthetic and field data sets. In areas with moderate (less than 10:1) subsurface resistivity contrasts, the inversion models obtained by the three methods are similar. In areas with large resistivity contrasts, the Gauss -Newton method gives significantly more accurate results than the quasi-Newton method. However, even for large resistivity contrasts, the differences in the models obtained by the Gauss -Newton method and the combined inversion method are small. As the combined inversion method is faster than the Gauss -Newton method, it represents a satisfactory compromise between speed and accuracy for many data sets. D

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Incorporation of topography into two‐dimensional resistivity inversion

Cited by 53 publications

References 10 publications

An Electric Resistivity Study of the Chelungpu Fault in the Taichung Area, Taiwan

An Electric Resistivity Study of the Chelungpu Fault in the Taichung Area, Taiwan

Methodology Applied to the Diagnosis and Monitoring of Dikes and Dams

A comparison of the Gauss–Newton and quasi-Newton methods in resistivity imaging inversion

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