MULTIPLE PARAMETERS IDENTIFICATION PROBLEMS IN RESISTIVITYWELL-LOGGING

Citation:

Cai Zhijie.MULTIPLE PARAMETERS IDENTIFICATION PROBLEMS IN RESISTIVITYWELL-LOGGING[J].Chinese Annals of Mathematics B,1998,19(3):265~272
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Authors:

Cai Zhijie;

Foundation:

Project supported by the National Natural Science Foundation of China (19771022).
Abstract: In petroleum exploitation, the main aim of resistivity well-logging is to determine the resistivity of the layers by measuring the potential on the electrodes. This mathematical problem can be described as an inverse problem for the elliptic equivalued surface boundary value problem. In this paper, the author gets the expression of the derivative functions of the potential on the electrodes with respect to the resistivity of the layers. This allows us to solve the identification problem of the resistivity of the layers.

Keywords:

Multiple parameters identification problem, Resistivity well-logging, Inverse problem, Equivalued surface boundary value problem

Classification:

86A20, 35J20, 35B40, 35B27, 35R30
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