地下开挖地表移动的模糊数学分析

Fuzzy Mathematics Analysis For Ground Movement due to Underground Excavation

本文是文献的深入研究和发展。根据岩土工程中大量观测资料的统计分析,利用模糊概率测度(Fuzzy Probability Measures)理论,建立了具有普遍意义的岩(土)体移动模糊数学模型,并有效地用于分析地下开挖引起的地表移动。从而论证了该模型的工程适用性。本文模型在岩土力学领域形成了新的理论研究体系——模糊数学理论体系。

This paper is the in-depth study and development of the Reference[1]. Based on results of the statistical analysis of a large amount of mearurod data in geotechnical engineering and civil engineering, the fundamental fuzzy model of rock (soil) mass displacement is established by using the theory of fuzzy probability measures. 晈here P(A') is the subsidence fuzzy probability; |,-, a/(i = 1,2,3,4, /= 1,2,3) are *? fuzzy parameters) ZH is a parameter depending on the mining (excavation) depth. This fuzzy model is universal and significant in geotechnical and civil engineering. The formulas derived in this paper have been confirmed by a large amount of measured data. The fuzzy model, therefore, is valid for solving the problems of the rock (soil) mass displacement and deformation due to underground excavation. This fuzzy model has been evolved into a new research system in roc k and soil mechanics.