通过改造均质体边界积分方程，对分区粘弹性介质的全定义域建立位移反分析边界积分方程及数值求解格式。其具体做法是：在满足分区介质的边界条件和区界联接条件下，均质体边界积分方程中引入虚拟力影响项；用样条函数把分区介质的边界积分方程离散化。由此简化了分区问题反分析计算程序，使之与求解均质问题的计算方法趋于一致 By transforming the homogenous boundary integral equation, the back-analytical inverse boundary integral equations and the numerical solution format of the partitioned viscoelastic medium are established. The specific approach is: under the boundary conditions of the partitioned media and the boundary conditions, the virtual force influence term is introduced into the homogeneous boundary integral equation; the boundary integral equation of the partitioned media is discretized by the spline function. This simplifies the partition analysis back-analysis calculation procedure, making it more consistent with the computational methods for solving homogeneous problems.