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本文在声波介质近似下,采用广义最小平方准则求解地震反射信息的非线性反演问题,并由此建立了一套由当前地震记录(对应于当前介质模型)与观测到的地震记录之间的残差确定介质模型修改量的数学模型。因所用资料是叠前资料,所以该方法考虑了直达波、折射波和多次波能量。若从弹性波方程出发,则可考虑面波能量。该方法的关键在于正演模型的建立,为了选择一个既省机时,精度又高的正演模拟方法,本文在试算过程中,采用了六阶有限差分法进行正演模拟。理论模型的试算结果表明,该方法是可行的。为使问题简化,我们只考虑了单一参数(速度)变化的情形。
In this paper, we use the generalized least-squares criterion to solve the nonlinear inversion problem of seismic reflection information under the approximation of the acoustic medium. From this, we establish a set of nonlinear inversion results from the current seismic record (corresponding to the current medium model) and the observed seismic record Residue Determines Mathematical Model of Modification of Media Model. Because the data used are prestack data, this method takes into account the direct, refracted, and multiplicative energies. If we start from the elastic wave equation, we can consider the surface wave energy. The key of this method lies in the establishment of forward modeling. In order to select a forward modeling method with high accuracy and low cost, this paper adopts the sixth-order finite difference method to simulate forward modeling. The trial calculation of the theoretical model shows that this method is feasible. In order to simplify the problem, we only consider the single parameter (speed) changes in the situation.