开采沉陷盆地下沉等值线函数——超椭圆函数

The Equivalent Curve of Mining Subsidence——The Super-elliptic Function

本文提出了开采沉陷盆地的下沉等值线为超椭圆函数,给出了参数的确定方法,并对实测资料进行了拟合计算。文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。

This paper points out that the equivalent curve of mining subsidence is a super-elliptic function. The method for determination of parameters is given. Fitting calculation is carried out for the data obtained from surveying. According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.