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Book Chapter

A Cubic-Hole Finite Element for 3-D Resistivity Modeling

By
Jianhua Li
Jianhua Li
Earth Sciences Division, Building 90, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA.
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Ganquan Xie
Ganquan Xie
Earth Sciences Division, Building 90, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA.
Search for other works by this author on:
Published:
January 01, 1999

Summary

We have developed a new 3-D finite element for a cubic block with a vertical hole. The cubic-hole element, which has 24 nodes, is tailored to 3-D finite-element modeling of dc flow in formations penetrated by a borehole. It improves the condition number of the finite-element matrix by representing the borehole directly and avoiding elements with a large ratio of length to width. The new element assembles easily with conventional cubic elements and is suitable for domain decomposition and parallelization. We have incorporated this element into an iterative resistivity imaging algorithm.

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Contents

Geophysical Developments Series

Three-Dimensional Electromagnetics

Society of Exploration Geophysicists
Volume
7
ISBN electronic:
9781560802154
Publication date:
January 01, 1999

GeoRef

References

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