Three-Dimensional Gravity Inverse Modeling for Basement Depth Estimation Integrating Maximum Difference Reduction (MDR), Trend Surface Analysis (TSA) and Total Variation Regularization

Accep Handyarso, Hendra Grandis


In sedimentary basin studies, gravity data are typically used to estimate the basement topography. Gravity inversion methods are expected to be able to discriminate between continuous and discontinuous sedimentary basins. Most 3D gravity inversion methods require intensive computational resources (computer memory and processing time). MDR3D, a variant of the well-known Bott method, was transformed into the Gauss-Newton inversion approach for extension flexibility. Integration of trend surface analysis (TSA) into the inversion scheme for regional anomaly estimation allows basement depth estimation from the Bouguer anomaly data. The aim of the additional total variation regulari­zation is to stabilize the inversion algorithm and to achieve a geologically feasible model, especially for discontinuous basin types. Evaluation of the proposed method led to satisfactory results both for the synthetic and the field data set. It was found that the regularization parameter can improve the stability of the algorithm and also the depth estimation from noisy data up to ±0.5 mGal.


basement depth; Bouguer anomaly; Gauss-Newton; MDR3D; regional-residual anomaly; trend surface analysis (TSA); total variation regularization.

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Bott, M.H.P., The Use of Rapid Digital Computing Methods for Direct Gravity Interpretation of Sedimentary Basins, Geophysical Journal of the Royal Astronomical Society, 3(1), pp. 63-67, 1960.

Blakely, R.J., Potential Theory Gravity and Magnetic Application, Cambridge University Press, 1996.

Parker, R.L., The Rapid Calculation of Potential Anomalies, Geophysi¬cal Journal of the Royal Astronomical Society, 31, pp. 447-455, 1972.

Oldenburg, D.W., The Inversion and Interpretation of Gravity Anomalies, Geophysics, 39(4), pp. 526-536, 1974.

Reamer, S.K. & Ferguson, J.F., Regularized Two‐Dimensional Fourier Gravity Inversion Method with Application to the Silent Canyon Caldera, Nevada, Geophysics, 54(4), pp. 486-496, 1988.

Silva, J.B.C., Santos, D.F. & Gomes, K.P., Fast Gravity Inversion of Basement Relief, Geophysics, 79(5), pp. G79-G91, 2014.

Zhdanov, M.S., Geophysical Inverse Theory and Regularization Problems, Elsevier, 2002.

Martins, C.M., Lima, W.A., Barbosa, V.C.F. & Silva, J.B.C., Total Variation Regularization for Depth to Basement Estimate: Part1 – Mathematical Detail and Applications, Geophysics, 76(1), pp. I1-I12, 2011.

Lima, W.A., Martins, C.M., Silva, J.B.C. & Barbosa, V.C.F., Total Variation Regularization for Depth to Basement Estimate: Part2 – Physicogeologic Meaning and Comparisons with Previous Inversion Methods, Geophysics, 76(1), pp. I13-I20, 2011.

Zhou, X., Gravity Inversion of 2D Bedrock Topography for Heterogeneous Sedimentary Basins Based on Line Integral and Maximum Difference Reduction Methods, Geophysical Prospecting, 61(1), pp. 220-234, 2013.

Chakravarthi, V. & Sundararajan, N., 3D Gravity Inversion of Basement Relief – A Depth Dependent Density Approach, Geophysics, 72(2), pp. I23-I 32, 2007.

Hinze, W.J., Von Frese, R.R.B. & Saad, A.H., Gravity and Magnetic Exploration: Principles, Practices and Applications, Cambridge Univer¬si¬ty Press, 2013.

Telford, W.M., Geldart, L.P. & Sheriff, R.E., Applied Geophysics 2nd edition, Cambridge University Press, 2004.

Grandis, H., Introduction to Geophysical Inversion Modeling, HAGI, Jakarta, 2009. (Pengantar Pemodelan Inversi Geofisika)

Meju, M.A., Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice, Society of Exploration Geophysicists, 1994.

Tarantola, A., Inverse Problem Theory and Methods for Model Parameter Estimation, Society for Industrial and Applied Mathematics, Philadelphia, United States, 341 pp., 2005.

Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Academic Press, Waltham, United States, 293 pp., 2012.

Sapiie, B., Naryanto, W., Adyagharini, A.C. & Pamumpuni, A., Geology and Tectonic Evolution of Bird Head Region Papua, Indonesia: Implication for Hydrocarbon Exploration in Eastern Indonesia, Search & Discovery Article, No. 30260, adapted from AAPG International Convention and Exhibition, Singapore, 2012.

Ikhwanudin, F. & Abdullah, C.I. Indication Strike Slip Movement a Part of Sorong Fault Zone in Yapen Island, Papua, Indonesia, GSTF Journal of Geological Sciences (JGS), 2 (1), pp. 25-33, 2015.

Haddad, D. & Watts, A. B., Subsidence History, Gravity Anomalies, and Flexture of The NorthEast Australian Margin in Papua New Guinea, Tectonics, 18 (5), pp. 827-842, 1999.

BP Berau Ltd., Airborne Gravity and Magnetic Data Reprocessing, Merging and Interpretation of Bird’s Head Area, Papua, Indonesia. (Unpublished internal report).



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