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Journal ArticleDOI

Modeling of EM logging tools in arbitrary 3-D borehole geometries using PML-FDTD

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TLDR
The numerical modeling of logging-while-drilling tools for hydrocarbon exploration in arbitrary three-dimensional geometries using a new finite-difference time-domain (FDTD) scheme in cylindrical coordinates shows very good agreement.
Abstract
We discuss the numerical modeling of logging-while-drilling (LWD) tools for hydrocarbon exploration in arbitrary three-dimensional geometries using a new finite-difference time-domain (FDTD) scheme in cylindrical coordinates. Two locally conformal FDTD (LC-FDTD) schemes are employed to simulate eccentric LWD tools in realistic logging environments. An anisotropic perfectly matched layer absorbing boundary condition extended to cylindrical coordinates is incorporated in the FDTD method to simulate unbounded geophysical formations. Frequency-domain data are obtained from the time-domain results using a ramp-modulated sinusoidal source and an efficient early-time extraction algorithm. The FDTD simulations are validated against both numerical mode matching and pseudoanalytical approaches and show very good agreement.

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Citations
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Journal ArticleDOI

Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

TL;DR: Extensions of finite-difference time domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media in this article.
Journal ArticleDOI

Cylindrical FDTD Analysis of LWD Tools Through Anisotropic Dipping-Layered Earth Media

TL;DR: A 3-D cylindrical finite-difference time-domain (FDTD) algorithm extended to fully anisotropic conductive media and implemented with cylINDrical perfectly matched layers to mimic open-domain problems.
Journal ArticleDOI

Finite Volume Modeling of Borehole Electromagnetic Logging in 3-D Anisotropic Formations Using Coupled Scalar-Vector Potentials

TL;DR: In this paper, a cylindrical grid finite volume (FV) algorithm for the solution of time-harmonic Maxwell's equations in fully three-dimensional (3-D) anisotropic media is presented.
Patent

Apparatus and method for downhole transient resistivity measurement and inversion

TL;DR: In this paper, a method of processing electromagnetic signal data includes disposing a downhole tool in a borehole in an earth formation, the tool including at least one electromagnetic transmitter, and applying an inversion technique to the transformed frequency domain TEM signal to estimate one or more formation parameters.
Journal ArticleDOI

Simulation of LWD Tool Response Using a Fast Integral Equation Method

TL;DR: A precorrected fast Fourier transform (pFFT) accelerated volume-surface-wire integral equation (VSWIE) method for the simulation of logging-while-drilling tool responses in borehole environments is presented.
References
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Book

Computational Electrodynamics: The Finite-Difference Time-Domain Method

Allen Taflove
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Journal ArticleDOI

A finite-difference, time-domain solution for three-dimensional electromagnetic modeling

TL;DR: In this article, a finite-difference solution for 3D transient electromagnetic problems is proposed, which uses a modified version of the Du Fort-Frankel method to solve first-order Maxwell's equations.
Journal ArticleDOI

Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates

TL;DR: In this article, a simple and systematic derivation of anisotropic perfectly matched layers (PMLs) in cylindrical and spherical coordinates is presented, based on the analytic continuation of Maxwell's equations to complex space.
Journal Article

A conformal Finite Difference Time Domain technique for modeling curved dielectric surfaces

TL;DR: In this paper, a conformal finite difference time domain (FDTD) technique was used to analyze curved dielectric surfaces. But unlike the existing conformal techniques for handling dielectrics, the present approach utilizes the individual electric field component along the edges of the cell, rather than requiring the calculation of its area or volume.
Journal ArticleDOI

A conformal finite difference time domain technique for modeling curved dielectric surfaces

TL;DR: In this article, a conformal Finite Difference Time Domain (FDTD) technique was used to analyze curved dielectric surfaces. But unlike the existing conformal techniques for handling dielectrics, the present approach utilizes the individual electric field component along the edges of the cell, rather than requiring the calculation of its area or volume.
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