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模糊数学在数字测井解释岩石强度中的应用
引用本文:曲钢.模糊数学在数字测井解释岩石强度中的应用[J].中国煤炭地质,2010(6):63-65.
作者姓名:曲钢
作者单位:黑龙江省煤田地质勘察院,黑龙江哈尔滨150001
摘    要:目前岩石相对硬度分六个等级,在实际工作中,可不考虑某一岩石的抗压强度的准确性,只需求出它隶属于某一级硬度的可靠程度即可,为此提出模糊模式识别方法解决这类问题:首先确定与岩石抗压强度相关的3个数字测井参数——强度指数、杨氏模量、密度参与计算,然后分配相应权重,构建与硬度级别相对应的6个模糊子集,最后建立判别岩石硬度分级的6个隶属函数作为模糊模式识别岩石硬度等级。判别原则:将任一深度的强度指数、杨氏模量、密度3个数据加权求和,将其值作为判别对象依次代入6个模糊模式得到6个计算值,按照最大隶属原则,确定其相对的硬度级别,该值越接近1,则其隶属于那个硬度级别的程度就越大。

关 键 词:抗压强度  杨氏模量  模糊  数学  密度

Application of Fuzzy Mathematics in Digital Well Logging Rock Strength Interpretation
Qu Gang.Application of Fuzzy Mathematics in Digital Well Logging Rock Strength Interpretation[J].Coal Geology of China,2010(6):63-65.
Authors:Qu Gang
Institution:Qu Gang (Heilongjiang Provincial Coal Geological Exploration Institute, Harbin, Heilongjiang 150001)
Abstract:At present, relative hardness of rocks is divided into 6 grades, in practices, may not request compressive strength exactitude of rocks, only the reliability of hardness grade they belong to, thus fuzzy pattern recognition is advised to solve this kind of issues. Firstly to determine 3 digital logging parameters-strength index, Young's modulus and density related to rock compressive strength taken part in computing; then corresponding weights assigning, building up 6 fuzzy subsets to corresponding hardness grades; finally establish 6 membership functions as fuzzy pattern to recognize rock hardness grades. Recognition principle is: to take strength index, Young's modulus and density data of any depth weighted and find the sum, take the value as discerning object and substitute into 6 fuzzy patterns in turn and get 6 computed values, based on maximum membership principle, determined relevant hardness grade, the more the value close to 1, the more reliability the hardness membership belongs to that grade.
Keywords:compressive strength  Young's modulus  fuzzy mathematics  pattern  density
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