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9th Biennial International Conference and Exposition on Petroleum Geophysics on 16-18 February, 2012

Exponential Finite Difference Method for Simulation of Electromagnetic Response of Layered Earth

Published in GEOHORIZONS - 2012

Piyoosh Jaysaval1 *, Soham Ray2 and Pravin K. Gupta1

Abstract


This paper presents an efficient algorithm Exponential Finite Difference Method (EFDM) for simulation of electromagnetic response of layered earth by considering the exponential basis function. EFDM demands a parameter ? to be chosen judiciously to obtain optimum results. The estimators of optimum ? can be obtained from eigenvalue analysis of the coefficient matrix; however, near optimal values can be constructed using model parameters. Since the electromagnetic response has oscillatory behavior, EFDM handles it better and gives more accurate results in comparison to the Classical Finite Difference Method (CFDM). Using EFDM we can choose coarser grids to obtain same accuracy of result as CFDM provides with a given grid. As a result EFDM reduces the time and cost of computation in comparison to CFDM.

Keywords


Partial Differential Equations, Finite Difference Method, exponential fitting, electromagnetic response

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