A 3-D fast integral equation method for simulation of induction logging response in formations with large conductivity contrasts

2008 ◽  
Author(s):  
Xiaochun Nie ◽  
Ning Yuan ◽  
R.C. Liu
Keyword(s):  
Integral Equation ◽  
Integral Equation Method ◽  
Equation Method ◽  
Induction Logging

3D integral equation modeling with a linear dependence on dimensions

Geophysics ◽  
2009 ◽  
Vol 74 (5) ◽  
pp. F89-F94 ◽  
Author(s):  
Dmitry Avdeev ◽  
Sergei Knizhnik
Keyword(s):  
Integral Equation ◽  
Electromagnetic Fields ◽  
Linear Dependence ◽  
Integral Equation Method ◽  
Three Dimensions ◽  
Equation Method ◽  
Equation Modeling ◽  
Quadratic Dependence ◽  
Induction Logging ◽  
Model Size

We have improved the integral equation method for modeling 3D electromagnetic fields by using the separability of its inherent [Formula: see text] dyadic Green’s tensors. Conventional integral equation approaches exhibit a quadratic dependence on model size, at least for the vertical dimension. In contrast, our approach has a linear dependence on all three dimensions. We tested our method on an example of induction logging in deviated boreholes.

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