裂隙岩体渗流与应力耦合数值分析及其工程应用-采矿工程专业论文.docx

摘 摘 要 裂隙岩体渗流与应力耦合分析研究是岩体力学界一个很有意义但又十分复 杂的课题。描述裂隙水流运动规律的立方定律是建立在平行板裂隙模型基础上得 出的，本文对立方定律进行了修正，推导了非平行楔形裂隙水流方程，根据渗透 性和裂隙面变形关系给出了单裂隙渗流与应力耦合公式，耦合的机理十分简单、 明确。本文综述了裂隙岩体渗流分析的各类数学模型，对于非双重介质模型—— 等效连续介质模型和离散裂隙网络模型分别给出了它们的有限元模拟公式，还进 一步提出了结合上述两种模型优点的适用于复杂裂隙岩体的耦合统一模型。把岩 体视为具有各向异往本构关系的假想等效连续体，考虑了裂隙剪切变形非线形特 性，根据应变叠加原理，推导出了等效弹性矩阵，从而得到裂隙岩体等效连续介 质模型的本构模型。并按照伽辽金有限单元法推导出了二维全耦合有限单元方 程，构造了同时以位移和渗透压力为未知量的全自由度求解模型，实现了位移场 和渗流场统一求解，避免了两场之间的交叉迭代，自行编制了相应的有限元计算 程序。本文最后对程潮铁矿西区放顶及开采过程中地压及地下水运动进行了数值 模拟，计算结果符合现场实际，分析结果为矿山安全生产提供了理论基础。 关键词：裂隙岩体，渗流，耦合，有限元法，全自由度，矿山安全生产 Abstract()oupling粕alysis Abstract ()oupling粕alysis research of seepagc如d strcss in细ctured眦k masses is a Very Valucd but∞mplicated t硒k fbr discussion．11le cubic law which des耐be the Jaw of flu遍flow in丘acturc is based彻paralIeI plale jojnl model，in this paper tbe cubic law is modificd and non-parallel wedgc—shaped joiIlt nuid now equation is forrned，couplillg rclation be咐ecn seepage and streSs is given based on pc姗eability 孤d joint distonion as the liIIkage betwcen Mo field，wtlile the coupling mcchaIlism is simple aIld explicit．hl lhe paper each maulematic model of se印age in丘acturcd mck masses is summarized．Fin“e Elcment Analysis simulation equations Of non·do曲le pOrosity system model-equiValent continuum media model粕d diScrcte fr∽turc ne咐ork model are西Ven，fllnhemorc a couplhlg unif0姗model is fo吼ed which inte掣atcd with the merit of the two fomler models．Ⅵew the rock m髂ses as equjVaIent continuum media chamctcrized鸽anisotropic material，equivalcnt el鹬cjc matrix Of equivalent continuum media modelis fo锄ed b砧ed On strain adding thcory and then principal model is arriVed，Mo dimension丘nitc clement cqualions are fo咖ed according to the Galerkjn Finite Element Method which takes both displaccmem蚰d nuid prc鹞ure鹊un-kIlawn vafiables．1his modcI let unifo册solvcd mcthod啪e iIlto e懂ect，which avOids s01Ving thc p玎oblem by iteratiOn of tlle Mo fields．And thcn c0玎cspo“ing finite element computed pr0萨岫is autllOri四d．III也e end of the papef underground prcssufc 8nd