Computation of potentials from current electrodes in cylindrically stratified media: A stable, rescaled semi-analytical formulation

@article{Moon2014ComputationOP,
  title={Computation of potentials from current electrodes in cylindrically stratified media: A stable, rescaled semi-analytical formulation},
  author={Haksu Moon and Fernando Lisboa Teixeira and Burkay Donderici},
  journal={J. Comput. Phys.},
  year={2014},
  volume={280},
  pages={692-709}
}

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References

SHOWING 1-10 OF 35 REFERENCES

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

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. To circumvent ill-conditioning

3-D resistivity inversion using the finite-element method

Comparisons of numerical examples show that the full inversion method gives a better resolution, particularly for the near-surface features, than does the approximate method, since the full derivatives are more sensitive to local features of resistivity variations than are the approximate derivatives.

Three-Dimensional Finite-Volume Analysis of Directional Resistivity Logging Sensors

A finite-volume (FV) technique is introduced to model directional resistivity logging sensors that employ tilted-coil antennas in 3-D anisotropic earth formations to enforces the correct continuity equations across material boundaries, avoids spurious modes, and leads to a better conditioned system matrix.

Analysis of the earth resistivity response of buried cables

Current flow in homogeneous and layered conducting media is analyzed for the case where an axial conductor or cable is present. The cable is characterized by a specified axial impedance and is

Extrapolation methods for Sommerfeld integral tails

A review is presented of the extrapolation methods for accelerating the convergence of Sommerfeld-type integrals (i.e. semi-infinite range integrals with Bessel function kernels), which arise in

Numerical Mode-Matching Method for Tilted-Coil Antennas in Cylindrically Layered Anisotropic Media With Multiple Horizontal Beds

NMM results are compared with 3-D simulation results using finite-difference time-domain method and a pseudoanalytical approach based on Sommerfeld integrals (for problems where the latter is applicable), showing very good agreement.

Three-dimensional simulation of eccentric LWD tool response in boreholes through dipping formations

Simulation of logging-while-drilling tools in complex thee-dimensional borehole environments using a finite-difference time-domain (FDTD) scheme in cylindrical coordinates shows very good agreement.

An integral transform solution to the fundamental problem in resistivity logging

This paper develops the analysis necessary for the computation of the response of a resistivity tool within a well bore as it traverses a thin‐invaded bed. The solution for the potential induced by a

Electrical modeling of the inhomogeneous invaded zone

The ideal rock model in electrical well logging for prospecting hydrocarbon consists of three cylindrical layers characterized by homogeneous resistivities. The second layer of model represents the