Transient modeling of subsurface EM problems using PML ABC

Chen, Yong H.; Chew, Weng Cho; Oristaglio, Michael

doi:10.1190/1.1826609

Cited by 3 publications

(4 citation statements)

References 8 publications

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“…The PML derivation using "stretched coordinates" [3,4] is based upon a transformation of Cartesian coordinates {x, y, z} → {xs x , ys y , zs z }, ,…”

Section: Optimization Of the Pml Absorbing Boundary Conditionsmentioning

confidence: 99%

“…Modifications of this formulation have been developed for truncating volumes in which non-air materials that may be conductive, magnetic, anisotropic, dispersive, etc. impinge on the boundary [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…This method was done for the standard Berenger PML in air for a single frequency. This paper describes the application and optimization of the PML formulation developed by Chen, et al [3,4] for a geophysical simulation of a cross-borehole method to delineate a conductive ore deposit. The PML is suitable for use in non-air material and pulsed (multifrequency) sources, and the optimization is done using parameter estimation.…”

Section: Introductionmentioning

confidence: 99%

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Application and optimization of the perfectly matched layer boundary condition for geophysical simulations

Johnson¹,

Furse²,

Tripp³

2000

Microw. Opt. Technol. Lett.

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The perfectly matched layer (PML) absorbing boundary condition has been used for a wide range of applications since its introduction in 1994. Most of these applications have used the PML in a uniform air‐filled zone around a nonair scatterer. This paper describes the application of the PML to a geophysical prospecting problem where the PML is applied in a conductive host material containing the scatterer. The conductivity profile is optimized using parameter estimation. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 25: 253–255, 2000.

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“…The PML derivation using "stretched coordinates" [3,4] is based upon a transformation of Cartesian coordinates {x, y, z} → {xs x , ys y , zs z }, ,…”

Section: Optimization Of the Pml Absorbing Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Application and optimization of the perfectly matched layer boundary condition for geophysical simulations

Johnson¹,

Furse²,

Tripp³

2000

Microw. Opt. Technol. Lett.

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“…Kunz & Luebbers 1993; Taflove 1995). The FDTD method is a simple, elegant and powerful approach to modelling electromagnetic scattering and radiation problems that has been extensively used in electrical engineering over the past decade (Taflove 1995) and is becoming more popular in geophysics (Wang & Hohmann 1993; Wang, Tripp & Hohmann 1995; Debroux 1996; Wang & Tripp 1996; Wang & LaBrecque 1996; Chen & Chew 1996). In this paper we briefly describe the basic theory and document the validity of the FDTD code implementation using the analytical solution of a conductive sphere and the integral equation solution of a conductive cube.…”

Section: Introductionmentioning

confidence: 99%

On the imaging of radio-frequency electromagnetic data forcross-borehole mineral exploration

Chouteau

Boerner

et al. 1998

Geophys. J. Int.

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Summary Radio‐frequency (typically from 0.1 to 20 MHz) electromagneti c methods are powerful tools for locating conductive mineralization in ore exploration and mine development. Yet data interpretation is complicated by the non‐linear relationship between the observed electric and magnetic fields and the electrical parameters of the Earth. The principal means of quantifying inversion capabilities is to compute synthetic data sets using accurate numerical models and to perform the inversion under controlled conditions. Our specific interest is in locating 3‐D bodies that are highly conductive relative to the host rock. An excellent approximation for this class of targets, at least at radio frequencies, is to assume that the bodies are infinitely conductive. The numerical advantage of this assumption is that inhomogeneities can be represented simply as internal boundaries where the total electric and magnetic fields are identically equal to zero. Ensuring numerical stability thus does not require excessive discretization in conductive regions since the maximum grid cell size is determined only by the electrical parameters of the host material. We use a finite‐difference time‐domain approach to compute the total electric and magnetic fields everywhere within the background medium and validate the code by comparisons with two analytical solutions. One common means of interpreting radio‐frequency electromagnetic data is to assume linearity between the model parameters and physical response and to apply tomographic image reconstruction methods. While relatively simple and inexpensive, the limitations and applicability of tomographic imaging methods to non‐linear electromagnetic data acquired in complicated, 3‐D mineral exploration environments are not well understood. Our initial study involves applying the simultaneous iterative reconstruction technique to recover images of the electrical properties of a conductive inclusion. Several examples show that the structural geometry of bodies between boreholes can be reliably imaged using both frequency‐doma in and time‐domain data. Phase data seem more amenable to recovering geometry information from tomographic reconstruction methods than amplitude data. However, attenuation data provide better constraints on the electrical properties of the geological media and thus form an essential complement to primarily geometrical information obtained from phase tomography. Non‐linear inversion methods will probably be required to incorporate the amplitude data for accurate reconstructions of the subsurface.

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Cross‐borehole delineation of a conductive ore deposit in a resistive host—experimental design

et al. 2001

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The finite‐difference time‐domain method is used for high‐resolution full‐wave analysis of cross‐borehole electromagnetic surveys of buried nickel sulfide deposits. The method is validated against analytical methods for simple cases, but is shown to be a valuable tool for analysis of complicated geological structures such as faulted or layered regions. The magnetic fields generated by a wire loop in a borehole near a nickel sulfide deposit are presented for several cases. The full‐wave solution is obtained up to 200 MHz, where quasi‐static methods would have failed. The dielectric response is included in the solution, and the diffractive nature of the field is observed. The sensitivity of each receiver in a vertical line in the cross borehole is presented and analyzed to provide an optimal weighting for receivers that can be applied to an experimental study.

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Transient modeling of subsurface EM problems using PML ABC

Cited by 3 publications

References 8 publications

Application and optimization of the perfectly matched layer boundary condition for geophysical simulations

Application and optimization of the perfectly matched layer boundary condition for geophysical simulations

On the imaging of radio-frequency electromagnetic data forcross-borehole mineral exploration

Cross‐borehole delineation of a conductive ore deposit in a resistive host—experimental design

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