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• W1567685093 abstract "Generalised Inverse (GI) and Singular Value Decomposition (SVD) are well known mathematical techniques exploited in many areas of applied science including the earth sciences. Simulation experiments on gravity anomaly due to a subsurface fault model have been carried out in the present work to estimate accurate model parameters by inverting the observed anomaly using GI approach via SVD. While solving the inverse problem, data kernel has been generated through the model. Using this data kernel, SVD has been performed to build Generalised Inverse Operator (GIO) and it is operated on the observed anomaly with reference to the calculated anomaly to update model parameters. Data and model resolution matrices are computed to check the correctness of the solution. A gravity profile over the Garber Oil Field, Oklahoma, equating to a fault has been studied to test/validate the procedure. The obtained values of the optimized model parameters of the oil field tally with the published results. Analysis reveals that among all the parameters density contrast and datum level dominates the energy modes of the data and model space over 99.3% while the remaining make negligible contribution. The merits of SVD are illustratively discussed. Geophysical methods are based on the application of certain physical principles to study the geological problems of the earth's interior. Mathematical techniques are employed with profit in all these applications. Gravity and Magnetic methods are routinely used in exploration geophysics to locate the geological structures favourable for mineral and oil occurrences. The method in essence comprises collection, processing and interpretation of data in terms of a viable geological model. The estimation of the model parameters of the causative sources that are responsible for the observed anomalies forms part of data interpretation. Exploring reliable mathematical tools for the estimation of the causative source parameters is the concern of the present article. Interpretation techniques of gravity and magnetic data generally employ indirect methods for translating the observed gravity or magnetic anomalies (Fig. 1) into sub-surface geology. The general procedure is to assume appropriate geometry for the causative source and compute its gravity effect and modify the model progressively until a reasonable fit with the observed anomaly is obtained" @default.
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• W1567685093 date "2003-01-01" @default.
• W1567685093 modified "2023-09-28" @default.
• W1567685093 title "Application of natural generalised inverse technique in reconstruction of gravity anomalies due to a fault" @default.
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