Studying the structural features of the lithospheric magnetic and gravity fields with the use of parallel algorithms

Мартышко, П. С.; Fedorova, N. V.; Akimova, Elena N.; Gemaidinov, D. V.

doi:10.1134/s1069351314040090

Cited by 25 publications

(5 citation statements)

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“…ЗЕМНОЙ КОРЫ Аномальное магнитное поле имеет интегральный характер и содержит составляющие от всех источников, расположенных в литосфере. Для выделения аномалий от источников в различных слоях земной коры была использована методика, основанная на повысотных пересчетах [Martyshko et al, 2014[Martyshko et al, , 2021a. Как правило, на открытых территориях наибольший вклад в аномальное магнитное поле вносят аномалии от приповерхностных массивов, поскольку интенсивность аномалий значительно снижается при удалении от локальных источников.…”

Section: методика выделения аномалий от источников в различных слояхunclassified

“…Создана новая компьютерная технология, основанная на параллельных вычислениях. Описание математического аппарата и алгоритмов параллельных вычислений на суперкомпьютере Уран приведено в статьях [Martyshko et al, 2014[Martyshko et al, , 2016. Алгоритм реализован также на графических процессорах NVidia и AMD [Martyshko et al, 2021a].…”

Section: методика выделения аномалий от источников в различных слояхunclassified

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On the Crustal Sources of Magnetic Anomalies in the Middle Urals

Martyshko,

Fedorova,

Rublev

2024

Geodin. tektonofiz.

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The 800×500 sq km area of the the Middle Urals, Russia, lying between 56 to 60° northern latitude and 54 to 66° eastern longitude, was studied in terms of the deep crustal structure. The study was based on three-dimensional modeling of the sources of magnetic anomalies in three layers of the Earth’s crust. The studied area covers the folded region of the Urals and adjacent structures of the East European Platform and the West Siberian Plate. The sources modeled in the near-surface layer down to a depth of 5 km make it possible to clarify the position of magnetized massifs, mainly consisting of mafic-ultrabasic rocks, and to trace their connection with mafic-ultrabasic belts in the granite layer and root blocks in the lower basaltic layer of the Earth’s crust. When the sources in the upper crustal layer are compared with those in the lower crustal layer, it is apparent that many belts on the platform have deep-seated roots and are located above the basalt layer protrusions, while most of the massifs in the Urals do not have deep-seated roots. The springs located under the western slope of the Urals allow reliably determining the depth to the basement of the ancient platform and the location of the eastern border of the East European Platform in the lower layer of the Earth’s crust. There were found extended zones of subsidence of the roof of the lower magnetized layer, which probably mark the boundaries of various terrains forming the paleo-island arc sector of the Ural fold system. The most extensive subsidence of the roof of the lower layer occurs to the west of the Tyumen-Chudinovsky fault and is perhaps the eastern deep-seated dividing line between the Ural fold system and the West Siberian Plate.

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Section: методика выделения аномалий от источников в различных слояхunclassified

On the Crustal Sources of Magnetic Anomalies in the Middle Urals

Martyshko,

Fedorova,

Rublev

2024

Geodin. tektonofiz.

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“…In order to separate the observed field anomalies by depth, we use the original method of elevated transformations [16,18] with the modification of the computational part, proposed by the authors of this paper, based on the method of local corrections [17,19,20]. We use this method for downward continuation and the density refinement.…”

Section: Layer-by-layer Separation Of the Local Field Componentmentioning

confidence: 99%

Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation

2021

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The paper describes a method of gravity data inversion, which is based on parallel algorithms. The choice of the density model of the initial approximation and the set on which the solution is sought guarantees the stability of the algorithms. We offer a new upward and downward continuation algorithm for separating the effects of shallow and deep sources. Using separated field of layers, the density distribution is restored in a form of 3D grid. We use the iterative parallel algorithms for the downward continuation and restoration of the density values (by solving the inverse linear gravity problem). The algorithms are based on the ideas of local minimization; they do not require a nonlinear minimization; they are easier to implement and have better stability. We also suggest an optimization of the gravity field calculation, which speeds up the inversion. A practical example of interpretation is presented for the gravity data of the Urals region, Russia.

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“…The efficient parallel implementations of this procedure were developed in works. 21,22 The parameters 𝛼 l ∈ [0, 1] determine what surfaces we want to change mainly in order to approximate the solution. 8 We should adjust them with respect to the surface depth 𝛼 l ∼ H 2 l .…”

Section: Choosing the Weighting Factors And Regularization Parametersmentioning

confidence: 99%

“…This technique uses the upward and downward analytic continuation of the field to suppress the effects of shallow and deeper objects and to extract approximately the field for the horizontal layer between two given depths. The efficient parallel implementations of this procedure were developed in works 21,22 …”

Section: Statement Of the Inverse Gravimetry Problemmentioning

confidence: 99%

Regularized gradient algorithms for solving the nonlinear gravimetry problem for the multilayered medium

Akimova

Misilov

Sultanov

2020

Math Methods in App Sciences

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We present new numerical algorithms for solving the structural inverse gravimetry problem for the case of multiple surfaces. The inverse problem of finding the multiple surfaces that divide the constant density layers is an ill‐posed one described by a nonlinear integral equation of the first kind. To solve it, it is necessary to apply the regularization ideas. The new regularized variants of the gradient type methods with the weighting factors are constructed, namely, the steepest descent and conjugate gradient method. We suggest the empirical rule for choosing the regularization parameters. On the basis of the constructed methods, we elaborate the parallel algorithms and implement them in the multicore CPU using the OpenMP technology. A set of experiments with the disturbed data is performed to test the gradient algorithms and study performance of the developed code. For the test problems with quasi‐real data, these new regularized algorithms increase the accuracy and speed up computation in comparison with the unregularized ones. By using the 8‐core CPU, we achieve the speedup of 8 times.

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Studying the structural features of the lithospheric magnetic and gravity fields with the use of parallel algorithms

Cited by 25 publications

References 1 publication

On the Crustal Sources of Magnetic Anomalies in the Middle Urals

On the Crustal Sources of Magnetic Anomalies in the Middle Urals

Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation

Regularized gradient algorithms for solving the nonlinear gravimetry problem for the multilayered medium

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