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This paper presents a numerical algorithm based on the finite-difference method to simulate the electromagnetic fields generated by arbitrarily-oriented transmitter coils in a three-dimensional (3D) fully anisotropic medium. An edge-centered, staggered-grid finite-difference method is used to solve the vector equation for the scattered electric field. The resultant matrix equation is solved iteratively...
In this paper, we presented an analytic method for simulation of triaxial induction tools in 1-D multiple-layered transverse isotropic formation. The axes of the tool can be arbitrarily orientated with respect to the principal axes of the medium's conductivity tensor. Effects of logging responses on various factors were investigated using the developed code.
This paper presents an analytical formulation of the dyadic Green's function in a homogeneous biaxial anisotropic medium. The spectral dyadic Green's function is first obtained by solving the spectrum-domain Maxwell's equations with a delta-type source excitation in a biaxial anisotropic medium. Then the space-domain dyadic Green's function is expressed as a triple inverse Fourier transform of the...
A three-dimensional (3-D) fast integral equation method is presented for the simulation of induction logging problems in formations with large conductivity contrasts, where most existing numerical techniques fail to obtain accurate results. The volume integral equation (VIE) is used to formulate the problem and the precorrected FFT accelerated method of moments (pFFT-MoM) is used to solve the integral...
To facilitate the analysis of large problems, in this paper, all the full matrices are stored in a sparse form and the PFFT method is employed to accelerate all the matrix-vector products appearing in both hand sides of the matrix equation for the moments. The present method can deal with much larger problems than the traditional MoM-AWE method since the PFFT achieves great reduction in memory requirement...
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