### Three-dimensional DC Resistivity Modeling using Galerkin Finite Element Method Composed by Tetrahedral Elements

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Dieter, K., Paterson, N.R. & Grant, F.S., IP and Resistivity Type Curves

for Three-Dimensional Bodies, Geophysics, 34, pp. 615-632, 1969.

Okabe, M., Boundary Element Method for the Arbitrary Inhomogeneities Problem in Electrical Prospecting, Geophys. Prospect., 29, pp. 39-59, 1981.

Xu, S.Z., The Boundary Element Method in Geophysics, Geophysical Monograph Series Number 9, SEG, 2001.

Furman, A., Warrick, A.W. & Ferré, T.P.A., Electrical Potential Distributions in Response to Applied Current in a Heterogeneous Subsurface, Solution for Circular Inclusions, Vadose Zone Journal, 1(2), pp. 273-280, 2002.

Mufti, I.R., Finite-Difference Resistivity Modeling for Arbitrarily Shaped Two-Dimensional Structures, Geophysics, 41, pp. 62-78, 1976.

Dey, A. & Morrison, H.F., Resistivity Modeling for Arbitrarily Shaped Three-Dimensional Structures, Geophysics, 44(4), pp. 753-780, 1979.

Zhang, J., Mackie, R.L. & Madden, T.R., 3-D Resistivity Forward Modeling and Inversion Using Conjugate Gradients, Geophysics, 60(5), pp. 1313-1325, 1995.

Coggon, J.H., Electromagnetic and Electrical Modeling by the Finite Element Method, Geophysics, 36(1), pp. 132-155, 1971.

Pridmore, D.F., Hohmann, G.W., Ward, S.H. & Sill, W.R., An Investigation of Finite-Element Modelling for Electrical and Electromagnetical Data in Three Dimensions, Geophysics, 46, pp. 1009-1024, 1980.

Sasaki, Y., 3-D Resistivity Inversion Using the Finite-Element Method,

Geophysics, 59(12), pp. 1839-1848, 1994.

Li, Y. & Spitzer, K., Three-Dimensional DC Resistivity Forward Modelling Using Finite Elements in Comparison with Finite-difference Solutions, Geophys. J. Int., 151, 924-934, 2002.

Rucker, C., Gunther, T. & Spitzer, K., Three-Dimensional Modelling and Inversion of Dc Resistivity Data Incorporating Topography I: Modelling, Geophys. J. Int., 166, pp. 495-505, 2006.

Jin, J.M., The Finite Element Method in Electromagnetics, 3rd ed., John Wiley & Sons, Inc., 2014.

Bhattacharya, B.B. & Shalivahan, Geoelectric Methods Theory and Applications, McGraw Hill Education (India) Private Limited, 2016.

Telford, W.M., Geldart, L.P. & Sheriff, R.E., Applied Geophysics,

Cambridge University Press, pp. 522-577, 1990.

Polycarpou, A.C., An Introduction to the Finite Element

Method in Electromagnetism, Morgan & Claypool, 2006.

Reddy, J.N, An Introduction to the Finite Element Method, McGraw- Hill, 1993.

Blome, M., Maurer, H.R. & Schmidt, K., Advances in Three-Dimensional Geoelectric Forward Solver Techniques, Geophysical Journal International, 176(3), pp. 74-752, 2009.

Gunther, T., Rucker, C. & Spitzer, K., Three-Dimensional Modelling and Inversion of DC Resistivity Data Incorporating Topography – II: Inversion, Geophysical Journal International, 166(2), pp. 506-517, 2006.

Song, T., Liu, Y. & Wang, Y., Finite Element Method for Modeling 3D Resistivity Sounding on Anisotropic Geoelectric Media, Mathematical Problems in Engineering, Article ID 8027616, pp. 1-12, 2017.

Spitzer, K. & Wurmstich, B., Speed and Accuracy in 3D Resistivity Modeling, in Three-Dimensional Electromagnetics, eds. Oristaglio, M. & Spies, B., no. 7 in Geophysical Developments, Society of Exploration Geophysicists, 1999.

Holmes, M.H., Introduction to Scientiﬁc Computing and Data Analysis (Texts in Computational Science and Engineering), Springer International Publishing Switzerland, 2016.

Lowry, T., Allen, M.B. & Shive, P.N., Singularity Removal: A Reﬁnement of Resistivity Modeling Techniques, Geophysics, 54(6), 766-774, 1989.

Zhao, S. & Yedlin, M.J., Some Reﬁnements on the Finite-Difference Method for 3-D DC Resistivity Modeling, Geophysics, 61(5), 1301-1307, 1996.

Pan, K. & Tang, J., Advance 2.5-D and 3-D DC Resistivity Modelling Using an Extrapolation Cascadic Multigrid Method, Geophys. J. Int., 197, pp. 1459-1470, 2014.

Reynolds, J.M., An Introduction to Applied and Environment

Geophysics, John Willey & Sons, pp. 418-488, 1997.

DOI: http://dx.doi.org/10.5614%2Fj.eng.technol.sci.2019.51.4.5

### Refbacks

- There are currently no refbacks.