Efficient and Reliable Simulation of Multicomponent Induction Logging Response in Horizontally Stratified Inhomogeneous TI Formations by Numerical Mode Matching Method

Wang, Hongnian; Tao, Honggen; Jing-Jin, Yao; Zhang, Ye

doi:10.1109/tgrs.2012.2183135

Cited by 43 publications

(18 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For many years, LWD problems where efficiently solved using a 1D-FE discretization along each horizontal layer of a cylindrical stratified medium [10,24,26,31], and then, in the vertical direction, a mode-matching procedure is used to match the fields between each horizontal layer. As said before, this approach is denoted as axial-NMM (A-NMM).…”

Section: Comparison Of the Proposed Methods Versus The R-nmmmentioning

confidence: 99%

“…Logging-while-drilling (LWD) tools, as that illustrated in Fig. 2.1, are commonly modeled using a mode-matching-based formulation [10,31,43], whereby a finite-element (FE) discretization is used along each horizontal layer of a cylindrical stratified medium. In the vertical direction, an analytical modematching procedure is then used to match the fields between each horizontal layer.…”

Section: On the Problem Statement And The Proposed Solutionmentioning

confidence: 99%

“…where we have introduced the multiple reflection matricesM For an arbitrary position z = z a (mainly large positive or negative z a ), these matrices might require very large exponents [31]. In order to prevent the overflow during the numerical computing of the fields, it is better to rewrite (B-18) as…”

Section: A Wave Equation In Cylindrical Coordinatesmentioning

confidence: 99%

“…An alternative way to solve three-dimensional (3D) problems is to employ the numerical mode-matching (NMM) techniques, which provides a middle-ground in terms of computational costs between brute-force and pseudo-analytical techniques [6,8,10,15,[22][23][24][25][26][27][28][29][30][31][32]. Typically, the NMM combines the FD or FE method in one coordinate direction with an analytical (modal) expansion in the others transversal directions.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Pseudo-Analytical Modeling for Electromagnetic Well-Logging Tools in Complex Geophysical Formations

Rosa¹

View full text Add to dashboard Cite

Section: Comparison Of the Proposed Methods Versus The R-nmmmentioning

confidence: 99%

Section: On the Problem Statement And The Proposed Solutionmentioning

confidence: 99%

Section: A Wave Equation In Cylindrical Coordinatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Pseudo-Analytical Modeling for Electromagnetic Well-Logging Tools in Complex Geophysical Formations

Rosa¹

View full text Add to dashboard Cite

“…Wang et al [7] developed the NMM method to simulate the multi-component induction tool and efficiently compute the electromagnetic field in horizontally stratified inhomogeneous transversely isotropic formations. However, as with all current NMM methods [4]- [6], a small radius was used to approach the origin of coordinates to avoid the singularity at ρ = 0 when implementing a 1D FEM along the radial direction.…”

Section: Introductionmentioning

confidence: 99%

Efficient Computation of Electromagnetic Waves in Anisotropic Orthogonal-Plano-Cylindrically Layered Media Using the Improved Numerical Mode Matching (NMM) Method

Dai

Liu

2015

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

An orthogonal-plano-cylindrically layered (OPCL) medium consists of materials stratified planarly and layered concentrically in the orthogonal directions. The numerical mode matching (NMM) method has previously been shown to be a fast and robust semi-analytical solver to investigate the propagation of electromagnetic (EM) waves in such a complex but isotropic or transversely isotropic medium. In this paper, several important improvements have been made to extend applications of this efficient solver to the anisotropic OCPL medium. The formulas for anisotropic media with three different diagonal elements in the cylindrical coordinate system are deduced to expand its application. The perfectly matched layer (PML) is incorporated along the radial direction as an absorbing boundary condition (ABC) to make the NMM method more accurate and efficient for unbounded low conductivity media and applicable to lossless media. We manipulate the weak form of Maxwell's equations and impose the correct boundary conditions at the cylindrical axis to solve the singularity problem. Finally, we also offer formulas for computing EM fields excited by a magnetic dipole located at any position with an arbitrary orientation. Numerical results have demonstrated the efficiency and accuracy of this method.Index Terms-Numerical mode matching, electromagnetic field, stratified planarly and layered concentrically medium, anisotropic and inhomogeneous medium, perfectly matched layer, cylindrical coordinate singularity , magnetic dipole.

show abstract

Instruments for Formation Evaluation

Gooneratne

Deffenbaugh

Moellendick

2018

Instruments, Measurement Principles and Communication Technologies for Downhole Drilling Environments

View full text Add to dashboard Cite

Efficient and Reliable Simulation of Multicomponent Induction Logging Response in Horizontally Stratified Inhomogeneous TI Formations by Numerical Mode Matching Method

Cited by 43 publications

References 16 publications

Pseudo-Analytical Modeling for Electromagnetic Well-Logging Tools in Complex Geophysical Formations

Pseudo-Analytical Modeling for Electromagnetic Well-Logging Tools in Complex Geophysical Formations

Efficient Computation of Electromagnetic Waves in Anisotropic Orthogonal-Plano-Cylindrically Layered Media Using the Improved Numerical Mode Matching (NMM) Method

Instruments for Formation Evaluation

Contact Info

Product

Resources

About