On selecting the excess density in gravity modeling of inhomogeneous media

Ladovskii, I. V.; Мартышко, П. С.; Бызов, Д. Д.; Колмогорова, В. В.

doi:10.1134/s1069351316060057

Cited by 7 publications

(5 citation statements)

References 2 publications

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“…So, the 3D density model can be easily recalculated into a 3D model of the lithostatic pressure anomalies by summing values from density grids for all layers down to specified depth. The distribution of the lithostatic pressure on the horizontal slices have a good match with the tectonic scheme [Ladovskii et al, 2017].…”

Section: Methodsmentioning

confidence: 64%

“…The following correlation between density and velocity was used for values recalculation. We had obtained this correlation as a result of inverse linear problem solution for 2D profiles [Ladovskii et al, 2017]:…”

Section: Methodsmentioning

confidence: 99%

“…Interpolation was done in by slicing the model into 800 flat horizontal layers and performing triangulation and linear interpolation method for all of them. As the result the digital parallelepiped of 3D model is constructed [Ladovskii et al, 2017].…”

Section: Methodsmentioning

confidence: 99%

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Structural Tectonic Scheme Creation Based on Seismic-Gravity Models and Isostasy Usage: Ural Case

Martyshko,

Ladovskii,

Byzov

et al. 2024

Russian Journal of Earth Sciences

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Process of Earth’s density models creation leads to the solution of direct and inverse gravimetry problems. The inverse problem of gravimetry is a classic example of an ill-posed problem: in the common statement, its solution is not unique and unstably depends on input data. Therefore, it is necessary to determine solutions belonging substantial sets of correctness, choosing reasonable models of an initial approximation. In this paper the application of complex interpretation methods of seismic and gravitational data for the creation of three-dimensional models of crust and the upper mantle are presented. Original algorithms and programs were developed for implementation of these methods. They contain solution of non-linear (structural) inverse problem and the solution of the linear three-dimensional inverse problem taking note of the side sources. Coefficients of the “density-velocity” correlation formulas for a number of geo-traverses were defined. Also, we suggest a technique of tectonic maps construction, which is based on the lithostatic pressure calculation. Its idea can be applied to both two- and three-dimensional cases. In the 2D case we show the way to split the mantle to blocks with vertical boundaries. If lithostatic compensation hypothesis is adopted, the method also allows one to calculate density value for each block. Such separation of the mantle helps to diminish discrepancy between model and observed fields. In 3D case we suggest a method, which can be used to construct tectonic structure maps with information about approximate depth and height of each tectonic block.

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Section: Methodsmentioning

confidence: 64%

Section: Methodsmentioning

confidence: 99%

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Structural Tectonic Scheme Creation Based on Seismic-Gravity Models and Isostasy Usage: Ural Case

Martyshko,

Ladovskii,

Byzov

et al. 2024

Russian Journal of Earth Sciences

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“…The position of DSS profiles is drawn as black and white lines. The maximum depth of the profile sections is 80 km [25].…”

Section: Experimental Results Three-dimensional Density Model Of Midd...mentioning

confidence: 99%

“…The position of DSS profiles is drawn as black and white lines. The maximum depth of the profile sections is 80 km [25]. The initial density model frame is formed with the 2D density cuts along the regional profiles (Figure 2).…”

Section: Experimental Results Three-dimensional Density Model Of Midd...mentioning

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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On solutions of forward and inverse problem for potential geophysical fields: Gravity inversion for Urals region

Мартышко¹,

Ladovskii²,

Бызов³

et al. 2019

APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Ma

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On selecting the excess density in gravity modeling of inhomogeneous media

Cited by 7 publications

References 2 publications

Structural Tectonic Scheme Creation Based on Seismic-Gravity Models and Isostasy Usage: Ural Case

Structural Tectonic Scheme Creation Based on Seismic-Gravity Models and Isostasy Usage: Ural Case

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

On solutions of forward and inverse problem for potential geophysical fields: Gravity inversion for Urals region

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