模糊数学在数字测井解释岩石强度中的应用

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。     

应用模糊综合评判原理评价安全煤柱的留设

勘探阶段如何定量评价在厚度较大的新生界下采煤时,如何确定留设安全煤柱的水文工程地质条件,目前尚无完善的方法。以新郑矿区煤田地质勘探获取的水文地质及工程地质资料为例,选取新生界底部含水层、隔水层、风化带、煤层上覆岩组的水文地质及工程地质特征及区域地应力状态五个指标,采用模糊综合评判方法,对矿区留设安全煤柱的水文地质及工程地质条件进行综合评价。评价结果表明:研究区安全煤柱留设条件的优良级得分为48分,中等级得分为33分,较差级得分为19分,表明该矿二1煤层留设安全煤柱的水文地质及工程条件较好。研究结果可为矿区留设安全煤柱提供参考。     

Application of the Takagi–Sugeno fuzzy system for combination forecasting of river flow in semiarid mountain regions

Because of high spatial heterogeneity and the degree of uncertainty about hydrological processes in large‐scale catchments of semiarid mountain areas, satisfactory forecasting of daily discharge is seldom available using a single model in many practical cases. In this paper the Takagi–Sugeno fuzzy system (TS) and the simple average method (SAM) are applied to combine forecasts of three individual models, namely, the simple linear model (SLM), the seasonally based linear perturbation model (LPM) and the nearest neighbour linear perturbation model (NNLPM) for modelling daily discharge, and the performance of modelling results is compared in five catchments of semiarid areas. It is found that the TS combination model gives good predictions. The results confirm that better prediction accuracy can be obtained by combining the forecasts of different models with the Takagi–Sugeno fuzzy system in semi‐arid mountain areas. Copyright © 2009 John Wiley & Sons, Ltd.     

Stability of thermally conducting plasma in a variable magnetic field

The flow of an infinitely extending homogenous thermally conducting plasma permeated by a variable magnetic field is considered. The combined effect of several physical parameters, namely Hall currents, finite conductivity, ion viscosity and thermal conductivity on plasma instability is studied in the framework of Tsallis statistics. A new Jeans Criterion is derived, which depends explicitly on the nonextensive parameter q. The standard values are obtained in the limiting case q=1.     

Empirical distributions of galactic λ spin parameters from the Sloan Digital Sky Survey

Using simple dimensional arguments for both spiral and elliptical galaxies, we present formulae to derive an estimate of the halo spin parameter λ for any real galaxy, in terms of common observational parameters. This allows a rough estimate of λ, which we apply to a large volume-limited sample of galaxies taken from the Sloan Digital Sky Survey data base. The large numbers involved (11 597) allow the derivation of reliable λ distributions, as signal adds up significantly in spite of the errors in the inferences for particular galaxies. We find that if the observed distribution of λ is modelled with a lognormal function, as often done for this distribution in dark matter haloes that appear in cosmological simulations, we obtain parameters  λ₀= 0.04 ± 0.005  and  σ_λ= 0.51 ± 0.05  , interestingly consistent with values derived from simulations. For spirals, we find a good correlation between empirical values of λ and visually assigned Hubble types, highlighting the potential of this physical parameter as an objective classification tool.     

量化评价指标的自动统计算法研究

为了能使矿井构造量化预测技术在更多的矿井中推广应用 ,探讨了评价单元自动剖分、信息提取与存储、评价指标量化等矿井构造量化预测全程自动化实现技术的主要算法     

基于GIS和单元簇的模糊逻辑推理及其在区域矿产预测中的应用

论述了 GIS支持下的一种基于“单元簇”概念和模糊逻辑推理的多元地学信息综合分析方法及其在区域矿产预测中的应用。针对以往矿产定量预测中的单元划分方法对空间信息利用不足的问题 ,用单元的空间组合 (“单元簇”)代替单元作为定量类比的基本单位 ,从而能较充分地利用地质变量的局部空间结构信息 ;将单元作为 GIS区图元 ,利用 GIS空间分析功能实现对单元及单元簇的管理和操作 ;建立两个层次即变量对单元和组成单元对单元簇的模糊推理规则 ,经两次模糊推理计算出所有未知单元的找矿有利度 ,为进一步圈定找矿远景区提供了基础 ,并以新疆康古尔塔格地区金矿预测实例说明了其应用效果     

深基坑支护方案综合评价模糊优化理论模型及其应用

运用扩展的最小二乘方准则构造目标函数，建立了一种适用于深基坑支护方案综合评价的模糊优化理论模型。以某大厦深基坑支护拟用的4种方案评价为例，说明了该模型的应用，并与采用其它方法得到的结果进行了对比。