| 开采沉陷层状随机介质理论的数学模型和实体模型 |
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| 引用本文： | 田治洲,何新义. 开采沉陷层状随机介质理论的数学模型和实体模型[J]. 西安科技大学学报, 1989, 0(2) |
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| 作者姓名： | 田治洲 何新义 |
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| 作者单位： | 松藻矿务局，西安矿业学院测量系 |
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| 摘 要： | 本文阐述了层状随机介质的基本原理和推理方法,用数学模型导出了不同形态沉陷盆地的分布函数,说明了相应的参数估值的数理统计方法,进而把各种分布函数归纳为惠泰克方程的解函数,给出了随机介质理论实体模型的主要物理特性。
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| 关 键 词： | 层状随机介质理论 沉陷与变形 分布函数 |
MATHEMATICAL AND PHYSICAL MODELS OF LAYER STOCHASTIC MEDIUM THEORY FOR MINING SUBSIDENCE |
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| Tian Zhizhou He Xinyi. MATHEMATICAL AND PHYSICAL MODELS OF LAYER STOCHASTIC MEDIUM THEORY FOR MINING SUBSIDENCE[J]. JOurnal of XI’an University of Science and Technology, 1989, 0(2) |
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| Authors: | Tian Zhizhou He Xinyi |
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| Affiliation: | Tian Zhizhou He Xinyi |
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| Abstract: | In the paper, the theoretical fundation and inference method of layer stochastic medium theory in subsidence engineering are described. Various distribution functions of subsidence basin are derived from mathematical model and the mathematical statistics method of correspondent data estimation is demonstrated. Futhermore, the distribution functions can be induced as the solutions of Wittaker equation. Finally, the main physical characteristics of stochastic medium model are presented. |
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| Keywords: | layer stochastic medium theory subsidence and deformation distribution function |
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