Vertical resolution of two‐dimensional dipole‐dipole resistivity inversion

Narayan, Satyendra

doi:10.1190/1.1822110

Cited by 3 publications

(5 citation statements)

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“…On the basis of the inverse theory outlined above. a ZD inverse resistivity algorithm has been developed and tested for several theoretical models as well as for real field data (Narayan 1990). The objective in testing the ?D inverse resistivity algorithm was to study the rate of convergence from a poor initial guess, the resolution of model parameters, and the simplicity and flexibility of the algorithm (i.e.…”

Section: Model Resultsmentioning

confidence: 99%

“…The 2~ inverse resistivity algorithm developed by Narayan (1990) on the basis of an inverse formulation discussed herein is stable. and is capable of satisfactorily resolving anomalous bodies embedded in a homogeneous host rock.…”

Section: Discussionmentioning

confidence: 98%

“…Recently, Park and Van (1991) developed an inverse algorithm to invert pole-pole resistivity data over ;D resistivity structures using an approach very similar to that of Narayan (1990). However, they were able to map lateral resistivity variation more accurately than the vertical resistivity variation.…”

Section: Three-dimensional ( 3 ~) Resistivity Inversionmentioning

confidence: 99%

“…Using the above relation, the concept of reciprocity, and the generalized Green's identity (Lanczos 1961), the changes in the potential field at the surface due to changes in the conductivity of each discretized block (figure 2) is given by (Narayan 1990) 64 = SpJ-J'dr.…”

Section: J (mentioning

confidence: 99%

“…The detailed sequence of this inversion process is illustrated in figure 3. The details of this theoretical investigation for the specific ZD case, including linearization, matrix formulation and resolution of model parameters etc, are described by Narayan (1990).…”

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confidence: 99%

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Inversion techniques applied to resistivity inverse problems

1994

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This paper reviews various inversion techniques applied to resistivity inverse problems, and proposes a fairly different approach. The advantages and disadvantages of various resistivity inversion methods are briefly summarized. A good inversion method must simultaneously minimize the effects of data error and model parameter errors. The necessary requirements for inversion of any geophysical data are a fast forward algorithm for calculating theoretical data for initial model parameters, and a technique for calculating derivatives of the data with respect to the model parameters. Unfortunately. the second requirement is not readily available for two-dimensional (ZD) or three-dimensional (3D) inverse resistivity problems. A few workers have examined the problem of resistivity inversion, but no claim has yet been made for an optimum inverse method for ZD or)D resistivity data. Most resistivity inversion methods are also restricted to surface electrode arrays. A multi-dimensional resistivity inversion method using perturbation analysis and reciprocity is proposed. The theoretical basis for this method is briefly developed. This approach is an efficient way of calculating the derivatives of data with respect to the model parameters because the inverse formulation thereby developed is a linearized form of the general non-linear problem. An attempt is also made to provide an update on the state of knowledge of resistivity inverse problems.

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Section: Model Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 98%