Constrained Two-Dimensional Inversion of Gravity Data

Grandis, Hendra; Dahrin, Darharta

doi:10.5614/j.math.fund.sci.2014.46.1.1

Cited by 19 publications

(12 citation statements)

References 19 publications

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“…The second test model was a vertical model whose contrast density values were the same as those of the first. These models were the same as the models used by Grandis and Dahrin [15] in their work on constraining a 2D gravity inversion by using the explicit positions of the axes of an anomalous body. The geometry of the test models is depicted by the dashed rectangular in Figures 2 and 3.…”

Section: Resultsmentioning

confidence: 99%

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Gravity Inversion of Talwani Model using Very Fast Simulated Annealing

2019

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Global approaches for estimating geophysical model parameters have been proposed by several authors, including their application for gravity interpretation, which is currently limited to simple and fixed geometrical problems. This paper proposes implementation of Very Fast Simulated Annealing (VFSA) in two-dimensional gravity interpretation problems, which are still rarely addressed. The modeling domain was divided into smaller subdomains and gravity anomaly calculation was carried out based on the Talwani formulation. To improve the uniqueness of the solution of under-determined problems, specific constraints were added in addition to the assumed known symmetry axes. The inversion of VFSA was tested on synthetic data generated by simple models and on previously published real data to evaluate the applicability of the proposed approach to the interpretation of field data.

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Section: Resultsmentioning

confidence: 99%

“…Applications of minimum distance, smoothness, and compactness constraints were performed by Vatankhah, et al [14]. Also, Grandis and Dahrin [15] proposed minimization of the moment inertia of the causal anomalous object with respect to the axes of mass concentration.…”

Section: Introductionmentioning

confidence: 99%

Gravity Inversion of Talwani Model using Very Fast Simulated Annealing

2019

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“…Furthermore, the modeling of gravity data involving their gradients for quantitative interpretation will result in more sharp lateral boundaries. It is also expected that the use of gradients in a gravity inversion will reduce the non-uniqueness inherent in the modeling of the potential fields data [17,18].…”

Section: Discussionmentioning

confidence: 99%

Full Tensor Gradient of Simulated Gravity Data for Prospect Scale Delineation

Grandis

Dahrin

2014

j.math.fund.sci.

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Abstract. Gravity gradiometry measurement allows imaging of anomalous sources in more detail than conventional gravity data. The availability of this new technique is limited to airborne gravity surveys using very specific instrumentation. In principle, the gravity gradients can be calculated from the vertical component of the gravity commonly measured in a ground-based gravity survey. We present a calculation of the full tensor gradient (FTG) of the gravity employing the Fourier transformation. The calculation was applied to synthetic data associated with a simple block model and also with a more realistic model. The latter corresponds to a 3D model in which a thin coal layer is embedded in a sedimentary environment. Our results show the utility of the FTG of the gravity for prospect scale delineation.

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“…The value of has been chosen as a constant value by many authors. Last and Kubic [24] and Vatankhah et al [36] presented ; Guillen and Menichetti [25], Barbosa et al [26], Barbosa and Silva [27], Silva et al [28,29] and Grandis and Dahrin [37] have chosen . In this study the value of is variable and depends on the situations coming from the depth of causative bodies and prior information.…”

Section: Wherementioning

confidence: 99%

“…The large value of wj will force the prism density contrast to be 'frozen' at the violated boundary, at least temporarily during the first few iterations. This way, the response of the modified parameter estimates will not fit the observations, which will in turn trigger the necessity for further parameter perturbation as a function of the misfit [25,26,37]. For positivity constraints, the lower bound should be equal or close to zero.…”

Section: Bound and Positivity Constraintsmentioning

confidence: 99%

Two-Dimensional Compact Inversion of Magnetic Data in the Presence of Remanent Magnetization

Ansari

Ghorbani

Ghalehnoee

2019

anm

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Remnant magnetization causes a change in the direction and intensity of the magnetization vector. If inversion is performed regardless of remnance, in some cases it may have unreliable and misleading results. For inversion with respect to remnant magnetization, several solutions have been proposed so far, one of which is to convert the data of total magnetic field into data that is independent of the direction of magnetization. In this study, the transformation of Total Field Anomaly (TFA) into Total Magnitude Anomaly (TMA) is used. The inversion algorithm is based on improving compact inversion method and is just two-dimensional. In compact inversion, anomalies may concentrate on the surface of the earth, and thus the response is unreliable. To solve this problem, a combination of matrices and weighting functions have been used, including elements such as magnetic susceptibility and depth function. The resulting model can be smooth or compact (with sharp edges) based on changing compactness factor. The method has been tested using several synthetic and real data. The synthetic data are a 2D tabular prism, of which the top buried-depth is 20 m and the length and width are 40 to 20 m, a dipping prism with a vertical tabular nearby. The real example is magnetic data over Galinge iron-ore deposit in Qinghai province of China, and the data of four profiles have been considered for 2D inversion. Inversion even smooth or sharp, have been conducted with all models, and especially sharper models are consistent with the known geologic attributes of the magnetic sources.

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Constrained Two-Dimensional Inversion of Gravity Data

Cited by 19 publications

References 19 publications

Gravity Inversion of Talwani Model using Very Fast Simulated Annealing

Gravity Inversion of Talwani Model using Very Fast Simulated Annealing

Full Tensor Gradient of Simulated Gravity Data for Prospect Scale Delineation

Two-Dimensional Compact Inversion of Magnetic Data in the Presence of Remanent Magnetization

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