Abstract
The real geological medium is close to viscoelastic media. And at present usually adopted viscoelastic models have shortage in describing the relation between quality factor Q and frequency. Based on the generalized standard linear body, this paper establish overdetermined system of nonlinear equations using the Q formula of viscoacoustic/ viscoelastic media with no approximation and assumption. And the Levenberg-Marquarat algorithm which is belonged to nonlinear optimization method is adopted to directly compute the relaxation time to fitting the nearly constant Q model. The results are more accurate and only two elements can describe the frequency-independence of Q well. Then the fitting results of different cases and forward modeling of 2D model using high-order staggered grid finite-difference method are given to illustrate the veracity and validity of the method in this paper.
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