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Application of natural generalised inverse technique in reconstruction of gravity anomalies due to a fault

DRS at CSIR-National Institute of Oceanography

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Title Application of natural generalised inverse technique in reconstruction of gravity anomalies due to a fault
 
Creator Rao, M.M.M.
Murty, T.V.R.
Murthy, K.S.R.
Vasudeva, R.Y.
 
Subject gravity anomaly
subsurface fault model
 
Description 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.
 
Date 2006-09-19T06:16:58Z
2006-09-19T06:16:58Z
2003
 
Type Journal Article
 
Identifier Indian Journal of Pure And Applied Mathematics, vol.34(1), 31-47p.
http://drs.nio.org/drs/handle/2264/393
 
Language en
 
Format 290820 bytes
application/pdf
 
Publisher Indian National Science Academy