1887
Volume 29 Number 1
  • E-ISSN: 1365-2478

Abstract

A

The generalized integral equation for the electric potential governed by a quasi‐harmonic equation can be derived via a variational formulation. For surface current distributions it is not always a Fredholm integral equation of the second kind. Numerical solutions of the general heterogeneous problem can be obtained with the “reciprocal averaging technique”, where the solution is obtained a second time after exchange of source and field points.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1981.tb01010.x
2006-04-27
2024-04-27
Loading full text...

Full text loading...

References

  1. Alfano, L.1959, Introduction to the interpretation of resistivity measurements for complicated structural conditions, Geophysical Prospecting7, 311–366.
    [Google Scholar]
  2. Barnett, C.T.1972, Theoretical modeling of induced polarization effects due to arbitrarily shaped bodies, Ph.D. thesis, Colorado School of Mines.
  3. Coggon, J.H.1971, Electromagnetic and electrical modeling by the finite element method, Geophysics36, 132–155.
    [Google Scholar]
  4. Dieter, K., Paterson, N.R. and Grant, F.S.1969, IP and resistivity type curves for three‐dimensional bodies, Geophysics34, 615–632.
    [Google Scholar]
  5. Geoscience, Inc.1965, Theoretical two‐dimensional resistivity and induced polarization profiles, Technical Bulletin12, Cambridge .
    [Google Scholar]
  6. Hohmann, G.W.1975, Three‐dimensional induced polarization and electromagnetic modeling, Geophysics40, 309–324.
    [Google Scholar]
  7. Okabe, M.1978, Time‐saving application of finite element method to geophysics: US‐Japan Seminar on Interdisciplinary Finite Element Analysis, Cornell University, Ithaca .
    [Google Scholar]
  8. Okabe, M.1979a. Analytical expressions for gravity anomalies due to homogeneous polyhedral bodies and translations into magnetic anomalies, Geophysics44, 730–741.
    [Google Scholar]
  9. Okabe, M., 1979b, Treatment of singularities in the integral equation approach, Geophysics44, 2004–2006.
    [Google Scholar]
  10. Orden, A.1960, Matrix inversion and related topics by direct methods, in Mathematical methods for digital computers ( Ralston, A. eds. and Wilf, H.S. ), John Wiley, New York , 39–55.
    [Google Scholar]
  11. Pelton, W.H., Rijo, L. and Swift, Jr., C.M.1978, Inversion of two‐dimensional resistivity and induced‐polarization data, Geophysics43, 788–803.
    [Google Scholar]
  12. Snyder, D.D.1976, A method for modeling the resistivity and IP response of two‐dimensional bodies, Geophysics41, 997–1015.
    [Google Scholar]
  13. Wexler, A.1978, Some applications of the boundary element method to electrical engineering problem, The First International Seminar on Recent Advances in Boundary Element Methods, Southampton University, Southampton .
    [Google Scholar]
  14. Zienkiewicz, O.C.1977, The Finite Element Method, 3rd ed, McGraw‐Hill, London .
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1981.tb01010.x
Loading
  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error