中文摘要：

本文在传统的岩石波速空间平均模型（Voight模型，Ruess模型，Hill模型和几何平均模型）的基础上，提出了一种极限近似模型．在这种模型中，它是利用作者提出的一个基于Hill模型（即代数平均模型）和几何平均模型的递推关系式，并利用这个关系式计算求出模型的极限近似值，该值介于Hill模型和几何平均模型之间，是具有典型代表意义的一个值．

英文摘要：

In this paper, the author puts forward the limit approximation model in computing space average of rock wave velocity on the basis of four traditional models like Voight model, Ruess model, Hill model and geometry average model. In this model, the author proposes a recursion based on Hill model and geometry average model. The limit approximation of this model can be acquired through it, which is very typical and makes sense.