模糊数学在岩石坚固性分级中的应用

来源期刊：中南大学学报(自然科学版)1987年第1期

论文作者：杨锡林 蔡海涛

文章页码：12 - 18

关键词：岩石切削机理； 岩石坚固性系数； 压缩强度； 岩石可钻机； 应力波传播特性； 数学模型； 不分明集； 排序

Key words：rock cutting theory； rock consolidating coefficient； compressive strength； drillability of rock； stress wave propagation property； mathematical models； fuzzy subsets； sequencing

摘    要：岩石物理力学性质表现为非均匀性、各向异性、非线性和非连续性,因而它的铡定数据有不确定性.作者认为岩石的抗压强度、纵波速度和凿碎比功是影响岩石坚固性的基本因素.本文建议将被评的岩石坚固性视为等级论域上的一个模糊子集,并利用模糊数学中模糊推理和综合评判的理论,提出了一个综合评定岩石坚固性等级的新方法,在模糊推理中,用二元对比排序法来确定影响岩石坚固性诸因素的权重.

Abstract: Measured data of rocks are often uncertain because of the heterogeneity,anisotropy,non-linearity and discontinuity of the physico-mechanical parameters of rocks.Based on the concept of fuzzy mathematics and the theory of comprehensive evaluation,a new method of classification of rock sturdiness is proposed.In accordancewith this,the mine’s rock sturdiness being estimated is represented by fuzzy subset in this paper.The essential factors influencing the rock sturdiness are specific energy of rock fragmentation,longitudinal wave velocity of rock and the compressive strength of rock.The grade of membership of multiple factors is determined by means of two-element contrast method.In addition,some examples of comprehensive evaluation are discussed.