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MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM

Year 2015, Volume: 15 Issue: 2, 1929 - 1936, 01.12.2015

Abstract

In this paper, a new modeling technique is introduced using Genetic Algorithm (GA). In this method, Genetic
algorithm (GA) is modified and used as an optimization method in geophysics applications. The problem at hand is to
find the best model for the cross-section, which its anomalies fit the observed ones. Optimization methods are generally
used in inversion problems to find some parameters, which describe underground structures. The model shape is
limited with the chosen parameters. In our modeling technique, firstly, cross section is divided into prismatic pieces.
Then, genetic algorithm finds models in each generation, which have geometries constitute of prismatic structures, and
obtains the best model that fits its anomaly to the observed one. In this process, the density differences of each prismatic
piece are assumed to be constant. Therefore, the model obtained by using GA, the structure is shape independent.
Moreover, any kind of structure can be modeled with the proposed method using constant density difference for
underground structure. We give two synthetic examples; the first one is U type and the other one is a basin model. Based
on the anomalies with acceptable errors, GA finds the models satisfactory. Mean Errors (MEs) of these two synthetic
modes are 0.087 mGal and 0.073 mGal respectively. Then, Godavari Valley models of [1], [2] are considered to
compare our proposed modeling technique. Our model is found to be similar to these models. After demonstrate the
reliability of the technique, proposed method is applied to Sivas-Gurun basin and the anomaly of the model has only
0.17 mGal ME. 

References

  • [1] Bhaskara Rao, D. (1990), Analysis Of Gravity Anomalies Of Sedimentary Basins By An Asymmetrical Trapezoidal Model With Quadratic Density Function. Geophysics 55, 226-231. [2] Bhaskara Rao, V. And Venkateswarulu, P.D. (1974), A Simple Method Of Interpreting Gravity Anomalies Over Sedimentary Basins. Geophysical Research Letters 12, 177- 182. [3] Cavicchio, D.J. (1970), Adaptive Search Using Simulated Evolution. Ph.D. University Of Michigan. [4] Davis, L. (1987), Genetic Algorithms And Simulated Annealing. Morgan Kaufmann Publishers, Inc. [5] Davis, L. (1991), Handbook On Genetic Algorithms. Van Nostrand Reinhold, New York. [6] Goldberg, D.E. (1989), Genetic Algorithms In Search, Optimization, And Machine Learning. Addison-Wesley Publish Co., Inc. [7] Buckles, B.P. And Petry, F.E. (1992), Genetic Algorithms. Ieee Computer Society Press Technical Series. [8] Wright, A.H. 1991. Genetic Algorithms For Real Parameteer Optimization, Presented At The Foundation of Genetic [9] Stoffa, P.L. And Sen, M.K. 1991. Nonlinear Multiparameter Optimization Using Genetic Algorithms. Inversion Of PlaneWave Seismograms, Geophysics 56, 1794-1810. [10] Jin, S. And Madariaga, R. (1993), Background Velocity Inversion With A Genetic Algorithm. Geophysical Research Letters, 20, 93-969. [11] Billing, S., Kennett, B. And Sambridge, M. (1994), Hypocentre Location: Genetic Algorithms Incorporating Problem Specific Information, Geophysical Journal International 118, 693-706. [12] Boschetti, F., Dentith, M. And List, R. (1995), A Staged Genetic Algorithm For Tomographic Inversion Of Seismic Refraction Data, Exploration Geophysics 25, 173-178. [13] Boschetti, F. (1995), Application Of Genetic Algorithms To The Inversion Of Geophysical Data, Ph.D. Thesis In Mathematical Geophysics, University Of Western Australia. [14] Boschetti, F., Dentith, M. And List, R. (1996), Inversion Of Seismic Refraction Data Using Genetic Algorithms, Geophysics 61, 1715-1727. [15] Ucan, O.N., Bilgili, E. And Albora, A.M. 2002. Magnetic Anomaly Separation Using Genetic Cellular Neural Networks, Journal Of The Balkan Geophysical Society 3, 65- 70. [16] Hall, J.M. (2004), Anovel, Real-Valued Genetic Algorithm For Optimizing Radar Absorbing Materials, Nasa Project No: Nasa/Cr-2004-212669. [17] Telford, W.M., Geldart, L.P., Sheriff, R.E. And Keys, D.A. 1981. Applied Geophysics. Cambridge University Preess, Cambridge. [18] Albora, A.M. (1992), Study Of Gravity Effect Of Different Geometrical Structure With Nomograms. Istanbul University, Institute Of Science And Technology, Msc. Thesis.
Year 2015, Volume: 15 Issue: 2, 1929 - 1936, 01.12.2015

Abstract

References

  • [1] Bhaskara Rao, D. (1990), Analysis Of Gravity Anomalies Of Sedimentary Basins By An Asymmetrical Trapezoidal Model With Quadratic Density Function. Geophysics 55, 226-231. [2] Bhaskara Rao, V. And Venkateswarulu, P.D. (1974), A Simple Method Of Interpreting Gravity Anomalies Over Sedimentary Basins. Geophysical Research Letters 12, 177- 182. [3] Cavicchio, D.J. (1970), Adaptive Search Using Simulated Evolution. Ph.D. University Of Michigan. [4] Davis, L. (1987), Genetic Algorithms And Simulated Annealing. Morgan Kaufmann Publishers, Inc. [5] Davis, L. (1991), Handbook On Genetic Algorithms. Van Nostrand Reinhold, New York. [6] Goldberg, D.E. (1989), Genetic Algorithms In Search, Optimization, And Machine Learning. Addison-Wesley Publish Co., Inc. [7] Buckles, B.P. And Petry, F.E. (1992), Genetic Algorithms. Ieee Computer Society Press Technical Series. [8] Wright, A.H. 1991. Genetic Algorithms For Real Parameteer Optimization, Presented At The Foundation of Genetic [9] Stoffa, P.L. And Sen, M.K. 1991. Nonlinear Multiparameter Optimization Using Genetic Algorithms. Inversion Of PlaneWave Seismograms, Geophysics 56, 1794-1810. [10] Jin, S. And Madariaga, R. (1993), Background Velocity Inversion With A Genetic Algorithm. Geophysical Research Letters, 20, 93-969. [11] Billing, S., Kennett, B. And Sambridge, M. (1994), Hypocentre Location: Genetic Algorithms Incorporating Problem Specific Information, Geophysical Journal International 118, 693-706. [12] Boschetti, F., Dentith, M. And List, R. (1995), A Staged Genetic Algorithm For Tomographic Inversion Of Seismic Refraction Data, Exploration Geophysics 25, 173-178. [13] Boschetti, F. (1995), Application Of Genetic Algorithms To The Inversion Of Geophysical Data, Ph.D. Thesis In Mathematical Geophysics, University Of Western Australia. [14] Boschetti, F., Dentith, M. And List, R. (1996), Inversion Of Seismic Refraction Data Using Genetic Algorithms, Geophysics 61, 1715-1727. [15] Ucan, O.N., Bilgili, E. And Albora, A.M. 2002. Magnetic Anomaly Separation Using Genetic Cellular Neural Networks, Journal Of The Balkan Geophysical Society 3, 65- 70. [16] Hall, J.M. (2004), Anovel, Real-Valued Genetic Algorithm For Optimizing Radar Absorbing Materials, Nasa Project No: Nasa/Cr-2004-212669. [17] Telford, W.M., Geldart, L.P., Sheriff, R.E. And Keys, D.A. 1981. Applied Geophysics. Cambridge University Preess, Cambridge. [18] Albora, A.M. (1992), Study Of Gravity Effect Of Different Geometrical Structure With Nomograms. Istanbul University, Institute Of Science And Technology, Msc. Thesis.
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Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Onur Osman This is me

A. Muhittin Albora

Publication Date December 1, 2015
Published in Issue Year 2015 Volume: 15 Issue: 2

Cite

APA Osman, O., & Albora, A. M. (2015). MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM. Electrica, 15(2), 1929-1936.
AMA Osman O, Albora AM. MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM. Electrica. December 2015;15(2):1929-1936.
Chicago Osman, Onur, and A. Muhittin Albora. “MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM”. Electrica 15, no. 2 (December 2015): 1929-36.
EndNote Osman O, Albora AM (December 1, 2015) MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM. Electrica 15 2 1929–1936.
IEEE O. Osman and A. M. Albora, “MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM”, Electrica, vol. 15, no. 2, pp. 1929–1936, 2015.
ISNAD Osman, Onur - Albora, A. Muhittin. “MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM”. Electrica 15/2 (December 2015), 1929-1936.
JAMA Osman O, Albora AM. MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM. Electrica. 2015;15:1929–1936.
MLA Osman, Onur and A. Muhittin Albora. “MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM”. Electrica, vol. 15, no. 2, 2015, pp. 1929-36.
Vancouver Osman O, Albora AM. MODELING OF GRAVITY ANOMALIES DUE TO 2D GEOLOGICAL STRUCTURES USING GENETIC ALGORITHM. Electrica. 2015;15(2):1929-36.