有能量吸收的一维波动方程的阻抗反演  

Acoustic Impedance Inversion For One-Dimensional Visco-elastic Wave Equation

作　　者：张文生[1] 刘财[1] 谢靖[1] 

机构地区：[1]长春地质学院

出　　处：《CT理论与应用研究（中英文）》1994年第1期32-43,共12页Computerized Tomography Theory and Applications

摘　　要：本文讨论了一维粘弹性波阻抗反演的迭代法。根据一维波动方程和ＫｅｌｖｉｎＶｏｉｇｔ粘弹模型导出了一个适于数值计算的第二类Ｖｏｌｔｅｒｒａ型积分方程，用迭代法求解。通过对已有方法的改进和完善，数值计算表明了该反演方法具有一定的精度、抗干扰能力和分辨率以及应用于实际水平层状地层反射地震记录反演阻抗的可能性．In this poper, we discuss the iterative method of the acoustic impedance inversion for one-dimensional visco-elastic wave equation. Based on the one-dimensional equation and Kelvin-Vogit visco-elastic model, we have deduced a Vloterra integral equation of the second kind that is found to be suitable for numerical computation, then we apply iterative method to solve it.After we improve the present theory, the numerical computations show that this method has somewhat accuracy, performance in resistance to noise and resolution and that the possibility to apply it to inverse field reflection data from plane parallel structures.

关 键 词：波动方程 积分方程 阻抗反演 能量吸收 地震数据 

分 类 号：P631.443[天文地球—地质矿产勘探]