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RESINVM3D: A 3D resistivity inversion package

Adam Pidlisecky, Eldad Haber and Rosemary J. Knight
RESINVM3D: A 3D resistivity inversion package
Geophysics (April 2007) 72 (2): H1-H10

Abstract

We have developed an open source 3D, MATLAB based, resistivity inversion package. The forward solution to the governing partial differential equation is efficiently computed using a second-order finite volume discretization coupled with a preconditioned, biconjugate, stabilized gradient algorithm. Using the analytical solution to a potential field in a homogeneous half space, we evaluate the accuracy of our numerical forward solution and, subsequently, develop a source correction factor that reduces forward modeling errors associated with boundary effects and source electrode singularities. For the inversion algorithm we have implemented an inexact Gauss-Newton solver, with the model update being calculated using a preconditioned conjugate gradient algorithm. The inversion uses a combination of zero and first order Tikhonov regularization. Two synthetic examples demonstrate the usefulness of this code. The first example considers a surface resistivity survey with 3813 measurements. The discretized model space contains 19,040 cells. For this example, the inversion package converges in approximately 25 minutes on a 2.8 Ghz Pentium 4, with 4 Gb RAM. The second example considers the case of borehole based data acquisition. For this example there were 4704 measurements and 13,200 model cells. The inversion for this example requires 20 minutes of computational time.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 72
Serial Issue: 2
Title: RESINVM3D: A 3D resistivity inversion package
Affiliation: Stanford University, Department of Geophysics, Stanford, CA, United States
Pages: H1-H10
Published: 200704
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 22
Accession Number: 2007-114227
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. 1 table
Secondary Affiliation: Emory University, USA, United States
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 200747
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