Fast 3D inversion of gravity data using Lanczos bidiagonalization method

Toushmalani, Reza; Saibi, Hakim

doi:10.1007/s12517-014-1534-4

Cited by 20 publications

(4 citation statements)

References 56 publications

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“…For 2D and 3D modeling and inversion techniques using gravity data, there are many available computer codes and also computer software developed by commercial companies. For more details about these inversion methods and computer codes, you can check these publications [23][24][25][26].…”

Section: Interpretation Techniquesmentioning

confidence: 99%

Microgravity and Its Applications in Geosciences

Saibi¹

2018

Gravity - Geoscience Applications, Industrial Technology and Quantum Aspect

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Gravity is the most important force which determines the structure and evolution of stars like the Sun as well as the structure and evolution of galaxies. The law of universal gravitation is generally sufficient to describe the gravity of the Earth, the Moon, or the planets orbiting the Sun. With the recent development of sensitive gravimeters, the gravity survey has become one of the most used geophysical tools in applied geosciences for tasks including: exploring for oil and gas fields by studying geological structures and salt dome intrusion, monitoring groundwater and geothermal reservoirs by determining recharge and discharge masses, monitoring volcanic activity and hydrothermal activity beneath volcanoes, monitoring CO 2 movement during and after sequestration, locating active faults responsible for big earthquakes, and also exploring mines and detecting local cavities. In this chapter, we present a brief introduction to gravity and Bouguer gravity, the different corrections applied to measured gravity and follow with cases of applied microgravity measurements in different fields of geosciences.

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Section: Interpretation Techniquesmentioning

confidence: 99%

Microgravity and Its Applications in Geosciences

Saibi¹

2018

Gravity - Geoscience Applications, Industrial Technology and Quantum Aspect

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“…The aims of this work include first using the "Zeng method" [16] to separate the regional anomaly from the Bouguer anomaly, and then second conducting a combination of spectral analysis and 2D modeling to determine the shape, depth, thickness, and distribution of anomalous sources beneath the Babouri-Figuil and Mayo Oulo-Lere sedimentary basins. These methods have been used to isolate causative bodies by representing them as polygonal bodies in two dimensions [20] . Similar studies were used successfully to improve the subsurface structure of Algeria [21,22] .…”

Section: Introductionmentioning

confidence: 99%

Crustal Structures Inferred from Combined Terrestrial and Earth Gravity Data beneath the Babouri-Figuil and Mayo Oulo-Lere Basins, North Cameroon and South Chad

Saidou,

Bouba,

Oyoa

et al. 2024

eps

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In this work, the study of the crustal structure of the Babouri-Figuil and Mayo Oulo-Lere sedimentary basins was carried out through the interpretation of gravity data. These data were obtained by combining the terrestrial gravity data obtained from the Earth Gravitational Model 2008. The analysis of the terrestrial Bouguer anomaly maps reveals both negative and positive anomalies. Negative anomalies, i.e., low-density signatures, are interpreted as specific rock types on the basis of the geological knowledge of the region while the positive anomalies are attributed to basaltic rocks underlying a generally granitic environment. The empirical method was used to distinguish anomalies due to deep structures from those due to near-surface structures. This method testifies that the residual map of degree 4 is appropriate. Six profiles are drawn on this residual Bouguer anomaly map and are interpreted using spectral analysis and 2D modeling methods. The results indicate that the mean depths of mass sources at the near-surface of the Babouri-Figuil and Mayo Oulo-Lere sedimentary basins are located at 1.50 km and 1.55 km, respectively. Moreover, the Babouri-Figuil Basin is constituted of two formations while the Mayo Oulo-Lere Basin exhibits three distinct formations. These models also help clarify the geological structure of the study area as well as the thicknesses of the sedimentary basins.

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“…Therefore, a series of compression methods are introduced to reduce the dimension of large scale gravity, which resolves the application of SVD algorithm in large scale data inversion. The efficient methods have been studied, such as the frequency domain conversion (Li and Oldenburg, 2003), the symmetry of gravity forward model (Boulanger and Chouteau 2001), and the Lanczos bidiagonalization compression (Chan et al, 2005;Chung et al, 2008;Abedi et al, 2013;Toushmalani and Saibi, 2015;Voronin et al, 2015;Meng et al, 2016). Here, Lanczos bidiagonalization compression is an efficient algorithm, which has been studied and applied in many researches.…”

Section: Introductionmentioning

confidence: 99%

The improvement of sparsity gravity inversion using an adaptive lanczos bidiagonalization method

Meng

Wang²,

Li³

et al. 2023

Front. Earth Sci.

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Inversion of gravity data is one the important steps in the interpretation of practical data. The detection of sharp boundaries between anomalous bodies and host rocks is an interesting point in the geological frameworks. The gravity inversion with sparsity constraint is a useful method to recover block subsurface density distribution, which is efficiently used for the quantitative interpretation of gravity data. The reweighted regularized method is a useful method to solve the inverse problem. However, in this type, we must face the updating gravity forward matrix and large matrix operation. The application of Lanczos bidiagonalization method can reduce the size of data and matrix in the inversion to resolve the large scale inversion problem. However, a very important problem is not resolved, which is update of reweighted forward matrix and new Lanczos bidiagonalization matrix. Here, an adaptive Lanczos bidiagonalization method is studied to select the Lanczos bidiagonalization factor. And a new projected method with adaptive Lanczos bidiagonalization method is study to avoid the updating sparsity reweighted function. We calculate the reweighted forward matrix and Lanczos bidiagonalization matrix only one time, which can essentially reduce the computational complexity. The inversion results of synthetic data show that the new improved method is faster and better than common reweight regularized Lanczos bidiagonalization method to produce an acceptable solution for focusing inverse problem. The improvement of adaptive Lanczos bidiagonalization in sparsity gravity inversion is also tested on gravity data collected over the Mobrun massive sulfide ore body in Noranda, Quebec, Canada. The inversion results indicate a remarkable correlation with true structure of the ore body that is achieved from drilling data.

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Fast 3D inversion of gravity data using Lanczos bidiagonalization method

Cited by 20 publications

References 56 publications

Microgravity and Its Applications in Geosciences

Microgravity and Its Applications in Geosciences

Crustal Structures Inferred from Combined Terrestrial and Earth Gravity Data beneath the Babouri-Figuil and Mayo Oulo-Lere Basins, North Cameroon and South Chad

The improvement of sparsity gravity inversion using an adaptive lanczos bidiagonalization method

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