Automatic gravity modeling of sedimentary basins by means of polygonal source geometry and exponential density contrast variation: Two space domain based algorithms

Chakravarthi, V.; Kumar, M. Pramod; Ramamma, B.; Sastry, Shivakumar

doi:10.1016/j.jappgeo.2015.11.007

Cited by 19 publications

(5 citation statements)

References 32 publications

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“…The density contrast values change exponentially with depth (Chakravarthi et al, 2016;Pham et al, 2018) according to this equation:…”

Section: Methodsmentioning

confidence: 99%

“…This study aims to determine the Moho depth based on Bouguer gravity data inversion, assuming that the density contrast decreases exponentially with depth (Chakravarthi, 2003;Chakravarthi et al, 2016;Pham et al, 2018). Although many authors consider the sedimentary density uniform, two maps will be presented here: one from our inversion results and the other from the seismological map.…”

Section: Geological Settingmentioning

confidence: 99%

“…Many functions were used to observe the density contrast variation. For example, Murthy and Rao (1979) developed a linear function, Rao et al (1990) assumed the change in density contrast as a quadratic function, Silva et al (2006) simulated a hyperbolic function, and Chakravarthi et al (2016) discovered that the density contrast differed as an exponential function with depth.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Local Moho distribution in the eastern Mediterranean region from gravity inversion: eastern Mediterranean Sea

Harash,

Khalaf,

Al-Ansari

et al. 2023

Front. Earth Sci.

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This study investigates the variations of surface Moho inverted from Bouguer gravity data beneath the northwestern Arabian plate. The results were obtained by applying the 3DINVER program developed in a MATLAB environment using the Parker–Oldenburg method. The calculation results show that the maximum Moho depth observed in the western Arabian shield approaches more than 40 km, while the minimum values of 16–20 km are mainly concentrated beneath the Mediterranean Sea. A key innovation of this study is its implementation of exponential density contrast decrease in the sediment–basement interface in the Syrian part of the Arabian plate. The gravity anomaly of the sediment is computed using a density contrast which varies exponentially with depth, leading to a more accurate representation of the subsurface structure and offering valuable insights into the geodynamic processes and seismogenic potential of the area. To validate the inverted results from the 3DINVER program, the study compares these findings with seismic results that show good agreement with our results from the same region. This leads to a better understanding of the crustal structure and provides insights into its implications for the geodynamic and seismogenic nature of the northwestern Arabian plate—critical for assessing the potential for earthquakes and other geological hazards. The density contrast between the Earth’s crust and mantle can be related to variations in the composition, temperature, and pressure of the rocks. These factors influence the mechanical properties of the crust, ultimately affecting the tectonic processes and seismic activity in the region.

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“…The density contrast values change exponentially with depth (Chakravarthi et al, 2016;Pham et al, 2018) according to this equation:…”

Section: Methodsmentioning

confidence: 99%

Section: Geological Settingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Local Moho distribution in the eastern Mediterranean region from gravity inversion: eastern Mediterranean Sea

Harash,

Khalaf,

Al-Ansari

et al. 2023

Front. Earth Sci.

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“…The exponential density distribution, Eq. 19, appears in modeling of gravity anomalies [32][33][34], for example. Expression (20) holds also for complex values of k. Hence, the potential of a polyhedral body with density distribution…”

Section: Numerical Tests and Applications To Exponential Sinusoidal And Polynomial Density Distributionsmentioning

confidence: 99%

Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra

Nenashev

2022

Front. Phys.

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We propose a method of constructing analytical, closed-form expressions for electrostatic/Newtonian potentials of non-uniform polyhedral bodies, in which the density distributions are polynomials of coordinates. Possible applications of the proposed method are spread from astronomy to nanotechnology. The method is based on the use of the generating function for the potential. Explicit expressions for the potential are derived in the case of quadratic or cubic coordinate dependence of the density within a polyhedral body.

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“…For the successful solution the problems of geodynamic monitoring of the subsoil conditions by gravity measurements, a convenient data processing service (including the filtration, calculation and introduction of the necessary gravity corrections and reductions) as well as the interpretation unit for the calculated gravity variations are required. The main role in this service is assigned to solving the direct problems of gravimetry for various model assumptions on the structure of the studied geological medium [5][6][7]. Such a solution is the result of successive approximations, based on a pregiven initial approximation of the medium.…”

Section: Introductionmentioning

confidence: 99%

Solution of the Gravity Exploration Direct Problem by the Simulated Annealing Method for Data Interpretation of Gravity Monitoring of the Subsoil Conditions

Abdoldina¹,

Nazirova²,

Dubovenko³

et al. 2021

News of NAN RK. SGTS

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The long-term development of hydrocarbon reservoirs (HCR) in the geological environment, complex deformation processes occur. Gravity monitoring is carried out to evaluate the possible geodynamic risk and negative consequences from HCR. As a result, the interrelationships of the continuously changing field-geological situation (changes in production volumes, changes in reservoir pressure, processes of fluid injection into productive formations) are investigated. The main tool for solving the gravity inversion when determining areas of increased industrial hazard is the solution of the gravity direct problem. In these studies, proceeding from a given initial approximation of the environment, the problem is realized through successive approximations. To assess such distributions, the authors of the article recommend using the simulated annealing technique within the framework of stochastic optimization. It is aimed at fitting the optimal parameters of the medium provided that a minimal residual of the gravity field values occurs. The approach is implemented using three simple mathematical models of the geological medium such as horizontal prism, homogeneous sphere, and vertical ledge. This technique allows fitting the media values simultaneously by a pair of its parameters. The operation of the algorithm is described and the simulation results are provided. The results showed acceptable accuracy of the algorithm for solving the direct gravity problem by the proposed method. The simulated annealing technique made it possible to increase the reliability of the HCR model while reduce the time for the analysis of the gravity field.

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Automatic gravity modeling of sedimentary basins by means of polygonal source geometry and exponential density contrast variation: Two space domain based algorithms

Cited by 19 publications

References 32 publications

Local Moho distribution in the eastern Mediterranean region from gravity inversion: eastern Mediterranean Sea

Local Moho distribution in the eastern Mediterranean region from gravity inversion: eastern Mediterranean Sea

Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra

Solution of the Gravity Exploration Direct Problem by the Simulated Annealing Method for Data Interpretation of Gravity Monitoring of the Subsoil Conditions

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