Methods and algorithms for reconstructing three-dimensional distributions of electric conductivity and polarization in the medium by finite-element 3D modeling using the data of electromagnetic sounding

Persova, Marina G.; Soloveichik, Yuri G.; Trigubovich, G.M.; Tokareva, M.G.

doi:10.1134/s1069351313030117

Cited by 20 publications

(6 citation statements)

References 15 publications

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“…Мы используем технологию выделения поля горизонтально-слоистой среды (Persova et al 2013), при этом потенциал электромагнитного поля представляется в виде суммы …”

Section: методыunclassified

Modeling of Three-Dimensional Magnetotelluric Fields by Vector Finite Element Method Using GPU

Domnikov¹,

Kondratyev²

2017

Proceedings

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SUMMARYThree-dimensional modeling of magnetotelluric fields using the vector finite element method is carried out. We use the vector differential equation for the single vector-potential and the system of vector-scalar equations for the coupled vector and scalar potentials. We use the edge-based vector basis functions for the vector potential and nodal basis functions for the scalar potential. We use the COCR solver for the solution of the large sparse system of linear equations with Jacobi and folded preconditioner. The CPU and GPU implementations of the developed methods are compared. We test our methods on complex realistic problem of three-dimensional magnetotelluric sounding providing in Russian Far East. The conducted experiments show the advantage of GPU using.

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Section: методыunclassified

Modeling of Three-Dimensional Magnetotelluric Fields by Vector Finite Element Method Using GPU

Domnikov¹,

Kondratyev²

2017

Proceedings

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“…Подход к многомерной нелинейной инверсии с поиском координат границ структурных частей геоэлектрической модели представлен в работах (Persova et al 2013, Mogilatov et al 2016). …”

Section: подход к определению местоположения разлома по данным индукцunclassified

The Approach to Processing the Data of Induction Logging in Horizontal Wells in the Presence of the Fault

Persova¹,

Soloveichik²,

Koshkina³

et al. 2017

Proceedings

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SUMMARYThis paper proposes the approach to data processing, which allows quite a fast determination of the fault location using the induction logging data obtained in horizontal wells. The proposed approach is based on the use of the 1-D inversion and inversion based on the use of 2.5-D or 3-D finite element modeling. At the first stage, we determine a zone which is characterized by the dramatic change of the geoelectrical model parameters obtained as a result of the 1-D inversion in the adjacent points on the logging tool motion trajectory. Then, in this zone, we perform the multidimensional inversion which results in determining the point of intersection of the fault line and trajectory of the tool motion. The possibilities of the proposed approach are shown with the use of synthetic data obtained by 2.5-D modeling for the geoelectrical model which is specific for the problems of induction logging in horizontal wells. We show that the location of the point of intersection of the fault line and trajectory of the tool motion is determined quite accurately, and the computational time, which is required for the multidimensional processing in a separate zone, is about a minute when we use a personal computer.

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“…Therefore, nowadays the alternative approach to 3D-inversions a geometric 3D-inversion (it is named also as "parametric" [7,8] or "block inversion" [3,16]) is developed. This approach is based on joint recovery of the shape of structural parts of the geoelectrical model and their physical properties [9,11,12].…”

Section: Introductionmentioning

confidence: 99%

A study of equivalence of influences of varying thickness and conductivity in 3D-processing of airborne electromagnetic data in complex media

Kondratyev¹,

Kiselev²,

Vagin³

et al. 2018

Science Bulletin of the NSTU

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The paper is devoted to the problem of processing the airborne electromagnetic (AEM) data with a view to developing recommendations on parameterization of a geological medium for carrying out the geometric 3D-inversion of airborne data. The study is performed with the use of finite element 3D-modeling of transient EM fields induced by the helicopter AEM system in complex media followed by the 3D-inversion of airborne synthesized data. The geoelectrical models chosen for investigation are taken as typical of this class of airborne EM surveys: the rugged topography and the conductive inhomogeneous top layer, which overlaps the low-resistive layer containing target conductive bodies. It is shown that, if the variations of the top layer thickness do not exceed 30…35 m in performing 3D-inversion, as a minimum, at its first stage, the top layer can be recovered as equivalent with constant (but recovered) thickness, i.e. when the top layer is parameterized in the inverse problem, in the vector of the unknowns we can include only lateral borders of 3D-inhomogeneities, their conductivity, and layer thickness described by one parameter. It is also shown that, if, in the medium under study, the variations of the top layer thickness are more significant, its bottom border should be recovered in more detail, because otherwise the target objects located in the second layer with the responses of about 15…20 % of the measured signals can be missed, while, in the case of recovering the top layer parameters more accurately, these target objects can be discovered quite confidently.

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Methods and algorithms for reconstructing three-dimensional distributions of electric conductivity and polarization in the medium by finite-element 3D modeling using the data of electromagnetic sounding

Cited by 20 publications

References 15 publications

Modeling of Three-Dimensional Magnetotelluric Fields by Vector Finite Element Method Using GPU

Modeling of Three-Dimensional Magnetotelluric Fields by Vector Finite Element Method Using GPU

The Approach to Processing the Data of Induction Logging in Horizontal Wells in the Presence of the Fault

A study of equivalence of influences of varying thickness and conductivity in 3D-processing of airborne electromagnetic data in complex media

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