摘要
从井筒形变的力学模型入手,推导了井筒发生突变时的临界压力,按照灰色系统思想,探讨了带有突变现象的灰色非线性模型来预计井筒形变的可行性。实例表明,在突变点火大地改善了拟合精度,它为解释各项工程破裂现象及其预计方法提供了一种有效的数学方法。
In this paper, firstly begining with the mechnical model for shaft deformation, we derived the critical pressure of shaft cataclysm and we discussed the posibility of predicting the shaft deformation by the grey nonlinear model with cataclysm phenomenon according to the grey system theory. The practical example demonstrated that the fitting precision at the cataclysm point is greatly improved. It can be an effective mathematical method to explain all kinds of fracture phenomenan of constraction projicts and predicting method.
出处
《山东矿业学院学报》
CAS
1993年第4期322-326,331,共6页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
变突理论
井筒
移动
变形
cataclysm theory
grey system
control variables
state variables
prediction.
