A hybrid finite difference–finite element method to incorporate topography for 2D direct current (DC) resistivity modeling

2010 ◽  
Vol 183 (3-4) ◽  
pp. 426-434 ◽  
Author(s):  
Chatchai Vachiratienchai ◽  
Songkhun Boonchaisuk ◽  
Weerachai Siripunvaraporn
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Direct Current ◽  
Dc Resistivity ◽  
Resistivity Modeling ◽  
Element Method

3D direct current resistivity modeling with unstructured mesh by adaptive finite-element method

Geophysics ◽  
2010 ◽  
Vol 75 (1) ◽  
pp. H7-H17 ◽  
Author(s):  
Zhengyong Ren ◽  
Jingtian Tang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Direct Current ◽  
Homogeneous Model ◽  
Posteriori Error ◽  
Adaptive Finite Element Method ◽  
Error Estimator ◽  
Adaptive Finite Element ◽  
Resistivity Modeling ◽  
Element Method

A new adaptive finite-element method for solving 3D direct-current resistivity modeling problems is presented. The method begins with an initial coarse mesh, which is then adaptively refined wherever a gradient-recovery-based a posteriori error estimator indicates that refinement is necessary. Then the problem is solved again on the new grid. The alternating solution and refinement steps continue until a given error criterion is satisfied. The method is demonstrated on two synthetic resistivity models with known analytical solutions, so the errors can be quantified. The applicability of the numerical method is illustrated on a 2D homogeneous model with a topographic valley. Numerical results show that this method is efficient and accurate for geometrically complex situations.

scholarly journals Pixels and their neighbors: Finite volume

2016 ◽  
Vol 35 (8) ◽  
pp. 703-706 ◽  
Author(s):  
Rowan Cockett ◽  
Lindsey J. Heagy ◽  
Douglas W. Oldenburg
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Direct Current ◽  
Numerical Results ◽  
Dc Resistivity ◽  
Matrix Representations ◽  
Volume Method

We take you on the journey from continuous equations to their discrete matrix representations using the finite-volume method for the direct current (DC) resistivity problem. These techniques are widely applicable across geophysical simulation types and have their parallels in finite element and finite difference. We show derivations visually, as you would on a whiteboard, and have provided an accompanying notebook at http://github.com/seg to explore the numerical results using SimPEG ( Cockett et al., 2015 ).

scholarly journals Direct current simulation in acrylic box using 3D finite element method

2019 ◽  
Author(s):  
Y. A. Laksono ◽  
S. Zulaikah ◽  
S. Sunaryo ◽  
H. Heriyanto ◽  
S. Hidayat
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Direct Current ◽  
3D Finite Element ◽  
3D Finite Element Method ◽  
Element Method
Sign in / Sign up

Export Citation Format

Share Document