Study on 3-D Resistivity Inversion Using Conjugate Gradient Method

2000 ◽  
Vol 43 (3) ◽  
pp. 450-458 ◽  
Author(s):  
Xiao-Ping WU ◽  
Guo-Ming XU
Keyword(s):  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Resistivity Inversion

scholarly journals 3D DC Resistivity Inversion with Topography Based on Regularized Conjugate Gradient Method

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Jian-ke Qiang ◽  
Xue Han ◽  
Shi-kun Dai
Keyword(s):  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Electric Potential ◽  
Weighting Function ◽  
Dc Resistivity ◽  
Sensitivity Matrix ◽  
Synthetic Model ◽  
Model Study ◽  
Resistivity Inversion

During the past decades, we observed a strong interest in 3D DC resistivity inversion and imaging with complex topography. In this paper, we implemented 3D DC resistivity inversion based on regularized conjugate gradient method with FEM. The Fréchet derivative is assembled with the electric potential in order to speed up the inversion process based on the reciprocity theorem. In this study, we also analyzed the sensitivity of the electric potential on the earth’s surface to the conductivity in each cell underground and introduced an optimized weighting function to produce new sensitivity matrix. The synthetic model study shows that this optimized weighting function is helpful to improve the resolution of deep anomaly. By incorporating topography into inversion, the artificial anomaly which is actually caused by topography can be eliminated. As a result, this algorithm potentially can be applied to process the DC resistivity data collected in mountain area. Our synthetic model study also shows that the convergence and computation speed are very stable and fast.

Sign in / Sign up

Export Citation Format

Share Document