A hybrid method for inversion of 3D AC resistivity logging measurements

Smółka, Maciej; Gajda-Zagórska, Ewa; Schaefer, Robert; Paszyński, Maciej; Pardo, David

doi:10.1016/j.asoc.2015.06.055

Cited by 15 publications

(17 citation statements)

References 43 publications

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“…It may be also used to study the features of a Clustered Genetic Search (CGS) [21,27] and Hierarchic Memetic Strategy (HMS) dedicated for approximating lowlands and their basins of attraction [15,16]. The solving of real-world engineering ill-posed inverse problems from Classes C.6 -C.9 by the methods mentioned above is presented in papers [2,3,11,22,23].…”

Section: Conclusion and Perspective Of Applicationsmentioning

confidence: 99%

“…The effective handling of the insensitivity and multimodality of the objective functions is particularly essential for solving various tasks in technology formulated as inverse parametric problems (IPPs) (e.g., regarding lens design [12]), in geophysics (e.g., in the calibration of conceptual Rainfall-Runoff Models [10], or for investigating oil and gas resources [22]) as well as in medical diagnoses (e.g., in tumor tissue identification [18]).…”

Section: Introductionmentioning

confidence: 99%

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Misfit Landforms Imposed by Ill-Conditioned Inverse Parametric Problems

Łoś

Smółka

Schaefer

et al. 2018

csci

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In this paper, we put forward a new topological taxonomy that allows us to distinguish and separate multiple solutions to ill-conditioned parametric inverse problems appearing in engineering, geophysics, medicine, etc. This taxonomy distinguishes the areas of insensitivity to parameters called the landforms of the misfit landscape, be it around minima (lowlands), maxima (uplands), or stationary points (shelves). We have proven their important separability and completeness conditions. In particular, lowlands, uplands, and shelves are pairwise disjoint, and there are no other subsets of the positive measure in the admissible domain on which the misfit function takes a constant value. The topological taxonomy is related to the second, "local" one, which characterizes the types of ill-conditioning of the particular solutions. We hope that the proposed results will be helpful for a better and more precise formulation of ill-conditioned inverse problems and for selecting and profiling complex optimization strategies used in solving these problems.

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Section: Conclusion and Perspective Of Applicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Misfit Landforms Imposed by Ill-Conditioned Inverse Parametric Problems

Łoś

Smółka

Schaefer

et al. 2018

csci

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“…. , m (see formula (7)), together with the computational examples for heat conduction problems, Young modulus restoring, and the inversion of logging measurements for DC and AC cases, was reported by Barabasz et al [7], Barabasz et al [6], GajdaZagórska et al [24], and Smołka et al [70], respectively. These papers also contain a detailed algorithmic description of hp -HGS.…”

Section: Coupling With the Adaptive Direct Solvers: Hp -Hgsmentioning

confidence: 99%

“…Our description is based on that from two of our recent papers [24,70] and from several papers referenced therein.…”

Section: Common Adaptation Of Accuracy and Deme Structure -Hgsmentioning

confidence: 99%

On the Computational Cost and Complexity of Stochastic Inverse Solvers

Faliszewski

Smółka

Schaefer

et al. 2016

csci

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“…For the MT problem it was proven in [22,Remark 1]. Appropriate versions for other inverse problems can be found in papers [29,3,30]. Furthermore, in a few important cases, we can determine the dependency between the solver accuracy and the computational cost of the forward problem solution (cf.…”

Section: Hierarchic Memetic Searchmentioning

confidence: 99%