TY - JOUR
T1 - A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
AU - Shahriari, Mostafa
AU - Rojas, Sergio
AU - Pardo, David
AU - Rodríguez-Rozas, Angel
AU - Bakr, Shaaban A.
AU - Calo, Victor M.
AU - MUGA URQUIZA, IGNACIO PATRICIO PEDRO
PY - 2018/6/1
Y1 - 2018/6/1
N2 - In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a Hankel transform. The resulting formulation is often solved via a semi-analytic method, mainly due to its high performance. However, semi-analytic methods have important limitations such as, for example, their inability to model piecewise linear variations on the resistivity. Herein, we develop a multi-scale finite element method (FEM) to solve the secondary field formulation. This numerical scheme overcomes the limitations of semi-analytic methods while still delivering high performance. We illustrate the performance of the method with numerical synthetic examples based on two symmetric logging-while-drilling (LWD) induction devices operating at 2 MHz and 500 KHz, respectively.
AB - In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a Hankel transform. The resulting formulation is often solved via a semi-analytic method, mainly due to its high performance. However, semi-analytic methods have important limitations such as, for example, their inability to model piecewise linear variations on the resistivity. Herein, we develop a multi-scale finite element method (FEM) to solve the secondary field formulation. This numerical scheme overcomes the limitations of semi-analytic methods while still delivering high performance. We illustrate the performance of the method with numerical synthetic examples based on two symmetric logging-while-drilling (LWD) induction devices operating at 2 MHz and 500 KHz, respectively.
KW - Finite element method
KW - Hankel transform
KW - Logging-while-drilling (LWD)
KW - Multi-scale method
KW - Resistivity measurements
KW - Secondary field
UR - http://www.scopus.com/inward/record.url?scp=85048999972&partnerID=8YFLogxK
U2 - 10.3390/geosciences8060225
DO - 10.3390/geosciences8060225
M3 - Article
AN - SCOPUS:85048999972
VL - 8
JO - Geosciences (Switzerland)
JF - Geosciences (Switzerland)
SN - 2076-3263
IS - 6
M1 - 225
ER -