Two dimension magnetotelluric modeling using finite element method, incomplete lu preconditioner and biconjugate gradient stabilized technique

6th Asian Physics Symposium

Zukir, Muhammad^1 ; Srigutomo, Wahyu^1

Physics Departments, Bandung Institute of Technology, Indonesia^1

关键词: BiConjugate Gradient Stabilized;    Electric and magnetic fields;    Electric field and magnetic field;    Electromagnetic sources;    Geophysical exploration;    Transverse electric polarizations;    Transverse magnetic polarization;    Two Dimensional (2 D);   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/739/1/012088/pdf
DOI  :  10.1088/1742-6596/739/1/012088

来源: IOP

【 摘 要 】

Magnetotelluric (MT) method is a passive geophysical exploration technique utilizing natural electromagnetic source to obtain variation of the electric field and magnetic field on the surface of the earth. The frequency range used in this modeling is 10-4Hz to 102Hz. The two-dimensional (2D) magnetotelluric modeling is aimed to determine the value of electromagnetic field in the earth, the apparent resistivity, and the impedance phase. The relation between the geometrical and physical parameters used are governed by the Maxwell's equations. These equations are used in the case of Transverse Electric polarization (TE) and Transverse Magnetic polarization (TM). To calculate the solutions of electric and magnetic fields in the entire domain, the modeling domain is discretized into smaller elements using the finite element method, whereas the assembled matrix of equation system is solved using the Biconjugate Gradient Stabilized (BiCGStab) technique combined with the Incomplete Lower - Upper (ILU) preconditioner. This scheme can minimize the iteration process (computational cost) and is more effective than the Biconjugate Gradient (BiCG) technique with LU preconditions and Conjugate Gradient Square (CGS).