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作者从一维波动方程反问题的数学模型出发 ,经拉氏变换 ,根据 Sondhi- Gopinath法 ,导出了分布参数系统一维声阻抗反问题的解析式。该解是一个称为脉冲响应参量的函数 ,它可由地面观测波场和位移速度来确定
Based on the mathematical model of inverse one-dimensional wave equation, the author derives the analytic formula of the one-dimensional acoustic impedance inverse problem of distributed parameter system by Laplace transform and Sondhi-Gopinath method. The solution is a function called the impulse response parameter which can be determined from the observed wave field and the velocity of the displacement