岩石力学与工程学报
巖石力學與工程學報
암석역학여공정학보
CHINESE JOURNAL OF ROCK MECHANICS AND ENGINEERING
2009年
11期
2309-2319
,共11页
曹林卫%彭向和%杨春和%任中俊
曹林衛%彭嚮和%楊春和%任中俊
조림위%팽향화%양춘화%임중준
岩石力学%椭圆形微裂纹%面内扩展%偏折扩展%渗透系数%损伤%细观模型
巖石力學%橢圓形微裂紋%麵內擴展%偏摺擴展%滲透繫數%損傷%細觀模型
암석역학%타원형미렬문%면내확전%편절확전%삼투계수%손상%세관모형
rock mechanics%elliptical microcracks%in-plane extension%kink extension%permeability%damage%mesomechanical model
岩石类材料的微缺陷主要有微裂纹和微孔洞,当压力水渗透到微裂纹中时,可在微裂纹上产生附加张开应力.利用叠加原理,对计及微裂纹内水压力的岩石类材料在三轴压缩应力下的响应特性进行分解.考虑无限大体深埋椭圆形裂纹在远场三维压缩应力下的变形、扩展和偏折,得到代表性单元中任意空间取向的单个闭合椭圆形微裂纹及其偏折微裂纹引起的附加柔度张量.假设三轴压缩下,代表性单元渗透特性变化主要取决于偏折微裂纹扩展所引起的法向开度变化,结合达西定律和立方定理,推导出单个偏折微裂纹的附加渗透张量表达式.采用Taylor方法考虑微裂纹系统对代表性单元变形和渗透性影响,利用概率密度函数得到三轴压缩下岩石类材料的三维细观损伤-渗流耦合本构模型.数值计算表明采用本模型的计算结果与试验结果吻合较好.
巖石類材料的微缺陷主要有微裂紋和微孔洞,噹壓力水滲透到微裂紋中時,可在微裂紋上產生附加張開應力.利用疊加原理,對計及微裂紋內水壓力的巖石類材料在三軸壓縮應力下的響應特性進行分解.攷慮無限大體深埋橢圓形裂紋在遠場三維壓縮應力下的變形、擴展和偏摺,得到代錶性單元中任意空間取嚮的單箇閉閤橢圓形微裂紋及其偏摺微裂紋引起的附加柔度張量.假設三軸壓縮下,代錶性單元滲透特性變化主要取決于偏摺微裂紋擴展所引起的法嚮開度變化,結閤達西定律和立方定理,推導齣單箇偏摺微裂紋的附加滲透張量錶達式.採用Taylor方法攷慮微裂紋繫統對代錶性單元變形和滲透性影響,利用概率密度函數得到三軸壓縮下巖石類材料的三維細觀損傷-滲流耦閤本構模型.數值計算錶明採用本模型的計算結果與試驗結果吻閤較好.
암석류재료적미결함주요유미렬문화미공동,당압력수삼투도미렬문중시,가재미렬문상산생부가장개응력.이용첩가원리,대계급미렬문내수압력적암석류재료재삼축압축응력하적향응특성진행분해.고필무한대체심매타원형렬문재원장삼유압축응력하적변형、확전화편절,득도대표성단원중임의공간취향적단개폐합타원형미렬문급기편절미렬문인기적부가유도장량.가설삼축압축하,대표성단원삼투특성변화주요취결우편절미렬문확전소인기적법향개도변화,결합체서정률화립방정리,추도출단개편절미렬문적부가삼투장량표체식.채용Taylor방법고필미렬문계통대대표성단원변형화삼투성영향,이용개솔밀도함수득도삼축압축하암석류재료적삼유세관손상-삼류우합본구모형.수치계산표명채용본모형적계산결과여시험결과문합교호.
Microcracks and microvoids are the main microdefects in rock-like materials. When water infiltrates into microcracks,an additional opening stress will be caused on the surface of microcrack. Based on superposition principle,the response characteristics of these rock-like materials which need to consider the water pressure in microcracks under triaxial compression are separated. Considering the deformation,extension and kink of elliptical microcracks in infinite deep buried rock under the condition far field 3D compressive stress,the additional flexibility tensor caused by single closure elliptical microcracks and kink microcracks on any space orientation in a RVE(representative volume element) is obtained. With the assumption that the permeability of the RVE is mainly up to the variation of kink microcrack extension on normal direction under triaxial compression,and making use of the Darcy's law and cubic law of laminar flow,the expression of additional permeability tensor of single kink microcrack is derived. Considering the effect of microcrack system on the deformation and permeability of RVE by Taylor's scheme,a 3D meso-mechanical coupling constitutive model of damage and permeability in rock-like materials under triaxial compression is obtained by probability density function. The numerical calculation shows that the calculations of this model agrees well with that of test.