地质力学电磁场模型试验相似理论研究

Study of similarity theory of geomechanical model test in electromagnetic field

地质力学磁力模型试验是利用电磁力模拟重力、电磁力场模拟重力场的原理建立的地质力学模型试验理论与方法。其试验相似判据可根据相似理论的3个基本原理推导。用量纲分析和方程推导均可得到各参数相似判据为Φ*=ε*=μ*=1,l*=u*=n,p*=σ*=E*=c*=1,k*=v*=q*=1,t*=n,ρ*=1,g*=1/n。在模型中,时间t、几何尺度l缩小n倍,重力加速度g扩大n倍,而材料的其他基本物理力学参数Φ、ε、μ、σ、E、c、k、v、q、ρ的相似比均为1,从理论上说可采用结构的原型材料进行地质力学磁力模型试验,这在模型试验的操作上十分方便。

Abstract： Geomechanical model test based on electromagnetic force is one of the newest efforts. Its theory and method test are established with electromagnetic force to simulate gravity or electromagnetic field to simulate gravity field. Geomechanical problem can be studied by the model test of electromagnetic force. Based on three principles of the similarity theory, the similarity criterion of test can be deduced. Using dimensional analysis and equation deduction, similarity criteria of the parameters are obtained as follows：φ＊=ε＊=μ＊=1,l＊=u＊=n,p＊=σ＊=E＊=c1,K=v＊=q＊=1,t＊=n,ρ＊=1,g＊=1/n.In the model, the time t and the geometrical dimension l reduce n times; the acceleration of gravity g amplifies n times; the similarity ratios of the other basic material physico-mechanical parameters such as φ、ε、μ、σ、ρare all 1. The geomechanical model test based on electromagnet force can use prototype material of the structure, which can provide convenience in model test operating.