The elastic modulus of rock mass Em is a factor mentioned in engineering practice,but it is difficult to deter-mine Em directly. The fissures in the rock mass have a great influence on the Em ,and the fissure spacing and gap often deter-mines the Em . The rock mass space is filled with groundwater,and the fractures in the rock mass dominate the flow of groundw-ater. The seepage characteristics determine the seepage discharge of the free surface. The relationship between seepage dis-charge and Em is established by usingπtheorem,and it deduces the function relation between them. The finite element method is used to calculate the free surface seepage discharge in the mine goaf,and develop a relationship graph between the seepage discharge and Em by changing the π parameter. In the case of the known seepage discharge, Em can be calculated quickly through querying the graph. An example of mine is given,and the elastic modulus Em of the mine is calculated. The results cal-culated is consistent with the real data,which verifies the accuracy of this method.%岩体弹性模量Em是工程实践中关注的因素,但直接测定Em有一定的困难.岩体中的裂隙发育情况对Em有很大的影响,往往裂隙间距和隙宽决定了Em的大小.岩体环境中充满地下水,岩体中的裂隙主导了地下水的流动,其渗流特性决定了自由面渗流量的大小.通过π定理建立了自由面渗流量与Em之间的联系,推导了渗流量和Em的函数关系式,利用有限元法计算了采空区自由面渗流量,通过改变π参数绘制了反映渗流量和Em关系的曲线图,在已知渗流量的情况下查阅该图可以快速计算Em.给出了一个矿山实例,计算了该矿山岩体的弹性模量,计算结果与实际数据吻合,验证了此方法的准确性.
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