2000
DOI: 10.1190/1.1444857
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Potential field from a dc current source arbitrarily located in a nonuniform layered medium

Abstract: In this paper, I evaluate the potential field due to a dc current source located anywhere within a horizontally layered space, all layers possessing exponentially varying resistivities. The solution takes the form of Hankel transforms with their kernel expressions containing functions defined by recursion formulas. The resulting expressions can be used to model any kind of resistivity array. Specializing the general solution to full‐ or half‐space models possessing exponential dependence, I find terms I interp… Show more

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Cited by 14 publications
(9 citation statements)
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“…The inversion of El‐log TD SIP data was performed using the AarhusInv (Auken et al, ) code, an integrated modeling and inversion code for electrical and electromagnetic data. Forward modeling of El‐log TD SIP data follows the recursive formulation by Sato () and takes into account the transmitter waveform and the receiver transfer function (Fiandaca et al, ).…”
Section: Methodsmentioning
confidence: 99%
“…The inversion of El‐log TD SIP data was performed using the AarhusInv (Auken et al, ) code, an integrated modeling and inversion code for electrical and electromagnetic data. Forward modeling of El‐log TD SIP data follows the recursive formulation by Sato () and takes into account the transmitter waveform and the receiver transfer function (Fiandaca et al, ).…”
Section: Methodsmentioning
confidence: 99%
“…The forward response and the Jacobian for the TD inversion are obtained through superposition of step responses computed by the fast Hankel transform as described in (Johansen & Sørensen 1979;Fiandaca et al 2013). For the inversion of the TDIP El-log data, the forward response is computed in 1-D following Fiandaca et al (2012) but using an FD kernel that allows buried electrodes as described in Sato (2000).…”
Section: Tdip Fdipmentioning
confidence: 99%
“…The first layer has a resistivity of 0.19 ·m and a thickness of 10.5 m, the second layer has a resistivity of 2.0 · m and a thickness of 6.0 m, and the third layer has a resistivity of 10.0 · m. The results of this modeling are shown on Figure 8 and indicate a good fitting between the experimental and the theoretical data. In order to minimize the effect of frequency we employed the data of the lowest frequency, 0.25 Hz, to compare with the algorithm of (Sato 2000), which was developed for the directcurrent case. The data represented in Figure 8 have been obtained with a different type of electrode and a different value of frequency from the data represented in Table I, resulting in very different data for n=1.…”
Section: Forward Modelingmentioning
confidence: 99%
“…We employed the algorithm developed by (Sato 2000) to compute forward models for the three sea levels of investigation. We used three layers for the initial model.…”
Section: Forward Modelingmentioning
confidence: 99%
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