Modeling resistivity anomalies from localized voids under irregular terrain

Spiegel, R.J.; Sturdivant, Vernon R.; Owen, Thomas E.

doi:10.1190/1.1441115

Cited by 33 publications

(17 citation statements)

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“…The distribution of the model cells were initially made using the same method as for a model without topography. The vertical locations of the subsurface model cells were then adjusted using the inverse Schwartz -Christoffel transformation method (Spiegel et al, 1980;Loke, 2000). This results in a distorted finite-element grid where the distortion gradually decreases with depth.…”

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

355

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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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

355

145

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“…Determining their location and geometry has diverse applications including safe construction of buildings, road ways, airports, archaeological excavations and mineral in vestigations. Research relevant to the subject is that of Habberjam (1969), Spiegel et al (1980), Smith (1986) and Ba tayneh and Al-Zoubi (2000).…”

Section: Resistivity Techniquementioning

confidence: 99%

A Case Study of Dipole-Dipole Resistivity for Geotechnical Engineering from the Ras en Naqab Area, South Jordan

Batayneh

Barjous

2003

JEEG

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A data set utilizing the dipole-dipole resistivity technique covering an area of 5 excavation levels at a proposed highway site at the Ras en Naqab escarpment, south Jordan has been collected and interpreted to provide additional stratigraphic and subsurface structural information at the site. The interpretations obtained from 2D-modelling of the field data demonstrated a strong correlation between resistivity anomalies and mapped subsurface geology. Based upon the lateral and vertical resistivity changes with depth, the thickness and slope of the subsurface members was outlined. Analysis of the exposed section showed that estimated member thicknesses and quantitative assess ment of resistivity inferred from dipole-dipole resistivity data were in good agreement with the thickness and lithology found in the section. "\4 -! 800 Ohm-m \ -m -\\ 10 Ohm-m t SE J -A -I -© © 1 N -• .V:.T 10 Ohm-m \ \ 90 Ohm-m 1 -| """50*ohm-m \ 100 Ohm-m 50 OhJtKL A to Ohm-m Y ----5oT)hm-m ^ \ 100 Ohm-m 40 Ohm-m \ J^ohj^m. \ 40 Ohm-m 80 Ohm-m © © ® 80 Ohm-m © 15-150 OlmvmA

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“…To address the question of locating and describing subsurface voids, the limits of geophysical resolution were necessarily advanced. Numerous investigators (e.g., Jains et al, 1973;Arzi, 1975;Kaspar and Pecen, 1975;Dubus et al, 1978;Dolphin et al, 1978;Militzer et al, 1979;Spiegel et al, 1980;Daniels, 1983) employed a wide variety of techniques to map such voids. A good summary collection of papers dealing with research and applications to void (tunnel) detection is the Proceedings of the Second Technical Symposium on Tunnel Detection (Colorado School of Mines, 1984).…”

Section: Historical Perspectivementioning

confidence: 99%

Geotechnical and groundwater geophysics

Dobecki

Romig

1985

GEOPHYSICS

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Because of a change in emphasis from power plant siting to projects principally involving process and facility monitoring and certification of existing structures (dams, pipelines, etc.), geotechnical and groundwater geophysics is in quite a healthy state after some lean years following the demise of nucJear energy construction projects. The orders-of-magnitude jump in the computational capability of geophysicists working in these fields has overshadowed advances in instrumentation (e.g., digital enhancement seismographs), field methods (e.g., cross-boreho!e EM), and interpretive procedures. The advent of powerful, affordable microcomputers has enabled expansion into applications demanding finer resolution and quicker turnaround of results. As aresuit, shallow seismie reflection, seismie and electromagnetic geotomography, and the complementary use of surface and borehole electrical resistivity and seismie data wiJl soon be common if not dominant methods in geotechnical and groundwater investigations.Future trends point to increased emphasis on environmental and economie issues (e.g., toxic wastes or the stability of underground petroleum storage facilities), cross-fertilization with petroleum reservoir engineering (process monitoring and detailed reservoir description), and greater involvement of computers in the planning, data acquisition, and interpretive phases of our projects. As computers take over more of the data collection-processing-interpretation sequence, one of the greatest challenges facing us will be to define the proper role of humans and to use the new technology wisely.

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Modeling resistivity anomalies from localized voids under irregular terrain

Cited by 33 publications

References 1 publication

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

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

A Case Study of Dipole-Dipole Resistivity for Geotechnical Engineering from the Ras en Naqab Area, South Jordan

Geotechnical and groundwater geophysics

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