Selection of the wavenumbers <i>k</i> using an optimization method for the inverse Fourier transform in 2.5D electrical modelling

Xu, Shuiqing; Duan, Ben-chun; Zhang, Dahai

doi:10.1046/j.1365-2478.2000.00210.x

Cited by 41 publications

(29 citation statements)

References 7 publications

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“…Domain transformation from 3D to 2D can be achieved by integration in the Fourier domain (Dey and Morrison, 1979;Pidlisecky and Knight, 2008;Xu et al, 2000). …”

Section: Forward Modeling In Anisotropic Mediamentioning

confidence: 99%

Resistivity inversion of transversely isotropic media

Yas¹

2018

Turkish J Earth Sci

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IntroductionElectrical conductivity of a geological formation may vary in different directions depending on the formation's properties. This type of directional property of conductivity gives rise to electrical anisotropy (Maillet, 1947). Ignoring the electrical anisotropy of a geological formation or assuming that the formation is isotropic may yield to a misleading interpretation (Nguyen et al., 2007;Wiese et al., 2009;Greenhalgh et al., 2010).Electrical anisotropy detection in the field can be determined by using a square array, since the square array is more sensitive to electrical anisotropy in a geological formation than the most commonly used Schlumberger

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“…Domain transformation from 3D to 2D can be achieved by integration in the Fourier domain (Dey and Morrison, 1979;Pidlisecky and Knight, 2008;Xu et al, 2000). …”

Section: Forward Modeling In Anisotropic Mediamentioning

confidence: 99%

Resistivity inversion of transversely isotropic media

Yas¹

2018

Turkish J Earth Sci

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“…where k denotes the wavenumber computed by the optimal algorithm (Xu et al, 2000); u(x, y, z) is the total potential. The total potential could be recovered by the discrete inverse Fourier transform 1 ( , , ) ( , , )…”

Section: Boundary Value Problemmentioning

confidence: 99%

“…We perform the optimal algorithm introduced by Xu et al (2000) to select the discrete wavenumbers. The calculated wavenumbers and the corresponding weights based on homogenous half space are listed in Table 1, with a relative error less than 0.5% in the range of 0.35-220 m.…”

Section: Modelmentioning

confidence: 99%

“…Here, we take a horizontally twolayered model to show the accuracy of the new algorithm. Then, the analytical expression (Li, 2005) should be substituted into equation (2) to get the corresponding transformed potential which is used to calculate the enhanced wavenumbers by using the optimal strategy proposed by Xu et al (2000). In the above formula, both the source point and origin of Cartesian coordinate system are on the earth surface; the strike direction is assumed to be parallel to the z-axis; ρ 1 denotes the upper-layer resistivity;…”

Section: An Enhanced Technique For Accuracymentioning

confidence: 99%

“…However, all the models with topography were simplified since only the regular meshes were performed. A technique for optimally selecting the discrete wavenumbers was proposed by Xu et al (2000) which has been widely used in the finite-element modeling. Erdogan et al (2008) incorporated topography into finite-element and finitedifference approaches using different mesh discretizaiton strategies.…”

Section: Introductionmentioning

confidence: 99%

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2.5-D DC resistivity modeling considering flexibility and accuracy

et al. 2011

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We highlighted the flexibility of using unstructured mesh together with the local refinement by a resistivity model with complicated topography. The effect of topography is emphasized.Based on this, we calculated a specific class of layered models and found that the accuracy is not always satisfactory by utilizing the standard approach. As an improvement, we employed the layered earth as the reference model to calculate the wavenumbers. The comparison demonstrates that the accuracy is considerably improved by using this enhanced approach. KEY WORDS: 2-D topography, 2.5-D DC resistivity modeling, layered earth. INTRODUCTIONThe so-called 2.5-D DC simulation is usually adopted instead of directly solving the 3-D problems when the 3-D model has a 2-D structure. However, due to the complexity of geometrical model and attribute distribution in DC resistivity surveying, the limited analytical solutions for some simple models can never satisfy the requirement of data interpretations. Based on this, many numerical tools have been developed like integral-equation techniques (Lesur et al.

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