The study of the relation model between elastic modulus and porosity in deep coal seam roof sandstone
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摘要: 岩体弹性模量与岩体组分、内部结构及所处应力状态密切相关。 本文将孔隙看作岩石中 弹性模量为零的组成物质,建立了岩石整体弹性模量与各组成物质的弹性模量、体积分数关系的 模型。 结合花岗岩、深部煤岩、顶板砂岩、人工配比的高压胶结砂岩等多种脆性岩体的实验结果, 确定深部顶板砂岩的模型参数。 并针对深部顶板砂岩进行了循环加卸载声发射实验,确定了岩 石弹性阶段弹性模量随孔隙度的变化规律。 结果表明,本模型弹性模量计算值与实验测量值平 均误差为2*11%,说明本文建立的弹性模量与孔隙度关系的模型是适用的。Abstract: Rockmass*selasticmodulusiscloselyrelatedtoitscompositions,innerstructuralcharacteris⁃ ticsandstress⁃strainstate*ByassumingtheelasticmodulusofporetRockmass*selasticmodulusiscloselyrelatedtoitscompositions,innerstructuralcharacteris⁃ ticsandstress⁃strainstate*Byassumingtheelasticmodulusofporethatasapartofrockiszero,arela⁃ tionalmodelbetweentheelasticmodulusofthewholerockandcomponentaswellasvolumefractions wasderivedinthispaper*Theparametersinthismodelofdeeproofsandstoneweredeterminedbythe experimentalmeasurementsofdifferentbrittlerockssuchasgranite,deepcoalrock,roofsandstoneand highcementationsandstonepreparedbyartificialproportioning*Inaddition,theacousticemissionexper⁃ imentofcyclicloadingandunloadingondeeproofsandstonewasconductedtodeterminethechange rulebetweenelasticmodulusintherockelasticphaseandporosity*Theexperimentalresultsshowthat theaverageerrorbetweenthetheoreticalcalculatedvalueandexperimentalmeasurementvalueofthee⁃ lasticitymoduluswas2*11%,whichprovedthatrelationmodelbetweenelasticmodulusandporosity understresswasapplicable* hatasapartofrockiszero,arela⁃ tionalmodelbetweentheelasticmodulusofthewholerockandcomponentaswellasvolumefractions wasderivedinthispaper*Theparametersinthismodelofdeeproofsandstoneweredeterminedbythe experimentalmeasurementsofdifferentbrittlerockssuchasgranite,deepcoalrock,roofsandstoneand highcementationsandstonepreparedbyartificialproportioning*Inaddition,theacousticemissionexper⁃ imentofcyclicloadingandunloadingondeeproofsandstonewasconductedtodeterminethechange rulebetweenelasticmodulusintherockelasticphaseandporosity*Theexperimentalresultsshowthat theaverageerrorbetweenthetheoreticalcalculatedvalueandexperimentalmeasurementvalueofthee⁃ lasticitymoduluswas2*11%,whichprovedthatrelationmodelbetweenelasticmodulusandporosity understresswasapplicable*
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