A SIMULATED ANNEALING APPROACH TO SEISMIC MODEL OPTIMIZATION WITH SPARSE PRIOR INFORMATION¹

Abstract

MOSEGAARD, K. and VESTERGAARD, P.D. 1991. A simulated annealing approach to seismic model optimization with sparse prior information. Geophysical Prospecting 39,599-61 1.It is well known that seismic inversion based on local model optimization methods, such as iterative use of linear optimization, may fail when prior information is sparse. Where the seismic events corresponding to reflectors of interest remain to be identified, a global optimization technique is required.We investigate the use of a global, stochastic optimization method, that of simulated annealing, to solve the seismic trace inversion problem, in which the two-way traveltimes and reflection coefficients are to be determined. The simulated annealing method is based on an analogy between the model-algorithm system and a statistical mechanical system. We exploit this analogy to produce improved annealing schedules. It is shown that even in cases of virtually no prior information about two-way traveltimes and reflection coefficients, the method is capable of producing reliable results.

Crust and Mantle of the Baikal Rift Zone From P- And S-Wave Receiver Functions

“…Поиск оптимальных, в смысле наименьших квадратов, моделей выпол-няется методом модельного отжига [Mosegaard, Vestergaard, 1991]. Опробуются десятки тысяч ско-ростных моделей.…”

Waveform-based simulated annealing of crosshole transmission data: a semi-global method for estimating seismic anisotropy

“…Of specific relevance to this paper is the semi-global method of simulated annealing (Rothman 1985(Rothman , 1986Kirkpatrick et al 1987;Mosegaard & Vestergaarad 1991;Sen & Stoffa 1991;Varela et al 1998). The concepts behind simulated annealing are borrowed from statistical mechanics, specifically from the analysis of a solid cooling in a heat bath.…”

“…Unfortunately, setting cooling schedules in this manner is largely ad hoc and problem dependent (Sen & Stoffa 1995;Tarantola 2005), although Nulton & Salamon (1988) and Mosegaard & Vestergaarad (1991) develop implementations which set the cooling schedule according to statistical information gained during the model search. Another difficulty is the estimation of the initial temperature T (0) .…”

Optimization and geophysical inverse problems

“…Its use in numerical optimization problems began with Kirkpatrick et al (1983) and its first use in geophysical problems appears to be Rothman (1985Rothman ( , 1986. A review of the method and its application to geophysical problems can be found in Sen and Stoffa (1995) and examples of its use in Sen and Stoffa (1991), Mosegaard and Vestergaard (1991), and Varela et al (1998).…”