Optimization Approach to the Earthquake Source Inverse Problem
The paper deals with the model inverse problem of the determination of mechanical and geometrical parameters of the rupture propagating in an elastic medium. The optimization approach is used to solve this problem. The displacement field is calculated by means of the exact solution of the forward problem for the moving rupture of the complicated form in the infinite elastic medium. The character of wave field distribution in space and time, and main properties of the data misfit functional are investigated in detail for a simple example of the plane infinitely wide ground of the rupture. The possibility to solve such a kind of inverse problem in principle is established. Such kinds of problems could be of interest both in seismology to study earthquake mechanism and in practical applications to control the material destruction.
KeywordsWave Field Earthquake Source Elastic Displacement Fault Surface Rupture Propagation
Unable to display preview. Download preview PDF.
- 1.Aki K., P.G. Richards, 1980: Quantitative seismology. Theory and methods, vol.1,2, Freeman and Co.Google Scholar
- 3.Bykovtsev A.S., D.B.Kramarovsky,1987: About propagation of the complicated default square. Exact 3-D solution. Prikladnaja matematica i mechanica, vol.51, 1, 117–129.Google Scholar
- 4.Bykovtsev A.S.,1986: Modelling of fracture processes occurring in the focal zone of tectonic earthquake. Proceedings of International Conference on Computational Mechanics, May 25-29, Tokyo, vol.1, 111–221–226.Google Scholar
- 5.Gill P.E., W. Murrey, M.H. Write, 1981: Practical optimization. Academic Press.Google Scholar
- 6.Hartzell S.H. and T.H. Heaton (1983). “Inversion of strong ground motion and teleseismic wave front data for the fault rupture history of the 1979 Imperial Valley, California, Earthquake”, Bull. Seism. Soc. Amer., Vol. 73, No. 6, 1553–1583.Google Scholar
- 7.Haskell N.A. (1969) “Elastic displacement in the near-field of a propagating fault”, Bull. Seism. Soc. Amer., vol. 59, 2, 905–908.Google Scholar
- 8.Jordanovski L.R., M.D. Trifunac and V.W. Lee,1986, “Investigation of numerical methods in inversion of earthquake source”, Dept. of Civil Eng. Report No 86–01, Univ. Southern California.Google Scholar
- 9.Kasahara K., 1981, “Earthquake mechanics”, Cambridge University Press.Google Scholar
- 10.Madariaga R., 1978, “The dynamic field of Haskell’s rectangular dislocation fault model”, Bull., Seism., Soc., Amer., v. 68, 4, 869–887.Google Scholar
- 12.Olson V.H., R.J. Apsel, 1982, “Finite faults and inverse theory with applications to the 1979 Imperial Valley earthquake”, Bull. Seism. Soc. Amer., vol. 72, No. 6, 1969–2001.Google Scholar
- 13.Trifunac M.D.,1974, “A three-dimensional dislocation model for the San Fernando, California, Earthquake of February 9, 1971”, Bull. Seism. Soc. Amer., vol. 64, 1, 511–533.Google Scholar