饱和节理岩体中地震波散射分析
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摘要
通过建立饱和节理岩体的等效模型 ,利用饱和孔隙介质的 Biot理论 ,研究其在地震波作用下由于局部地形变化引起的散射特性。实例分析结果表明 ,按单相介质模型的计算结果较按饱和孔隙介质模型的计算结果小 ,特别对 P1波入射的地震波 ,且相对误差最多超过 80 %。因而 ,对常处于水饱和环境下工作的船闸及其它水工结构 ,在抗震设计中应充分考虑由于水饱和作用对船闸及其它水工结构安全性的影响
On the basis of the equivalence of the seepage and of the theory of Biot, this paper proposes the equivalent model of saturated jointed rock mass and the scattering of elastic seismic wave. Being as a special example, the scattering of elastic seismic wave in the ship-lock high slope of Three-gorges Project is studied numerically and abundant calculation results regarding the response to the incident wave directions, frequencies etc. are obtained. The results have shown that the dynamic response in the single-phase medium is different from that in the saturated jointed rock mass.
On the basis of the equivalence of the seepage and of the theory of Biot, this paper proposes the equivalent model of saturated jointed rock mass and the scattering of elastic seismic wave. Being as a special example, the scattering of elastic seismic wave in the ship-lock high slope of Three-gorges Project is studied numerically and abundant calculation results regarding the response to the incident wave directions, frequencies etc. are obtained. The results have shown that the dynamic response in the single-phase medium is different from that in the saturated jointed rock mass.
引文
[1] Biot,M.A.,Mechanics of deformation and Acoustic Propagation in Porous Media.〔J〕.J.Appl.Mechanics,196 2 ,33( 4) :14 82 - 14 97.
[2 ] Zhao Chongbin,Valliappan S.,Effect of canyon topographic conditions on groud motion due to harmonic Pand SV wave incidences〔J〕,Proceedings of10 th Word Conference on Earthquake Engng,Madrid,Spain,1992
[3] Trifunac,M.D.,Scattering of plane SH waves by a semi- cylindrical canyon,Int.J.Earthq〔J〕.EngngStruct.Dyn.,No. 1,2 6 7- 2 81,1973
[4] 袁晓铭 ,廖震鹏 .圆弧形凹陷地形对平面 SH波散射问题的级数解答〔J〕.地震工程与工程振动 ,1993,13( 2 ) :1- 11[5 ] Degrande,G.& Roeck,G.D.,An absorbing boundary condition for wave propagatoin in saturated poro-elastic media Part II:Finite Element Formulation,Soil Dynamics and Earth- quake Engineering12 ,1993,12 :42 2 - 4 32
[6 ] 吴德伦 ,张建华 .饱和孔隙介质中波动分析的加权吸收边界条件〔J〕.岩土工程学报 ,1997,19( 4) :5 7- 6 5
[7] 李建林 .三峡工程永久船闸高边坡宏观力学参数研究〔D〕.重庆 :重庆建筑大学 ,1996
[8] Snow D.T.,Anisotropic permeability of fracture media,Water Resour.Res.,196 9( 5 )
[9] 陈洪凯 ,三峡工程永久船闸岩体渗流与排水机理研究〔D〕.重庆 :重庆建筑大学 ,1996
[10 ] Denis Fabre & Jerzy Gustkiewicz.Poroelstic properties of limestones and sandstones under hydrostaticconditions,Int.J.Rock.Mech.Min.Sci.& Geomech.Abstr.,1997,34 ( 1) :12 7- 134
[11] Kuhlemeyer,R.L.& L ysmer,J..Finite Element Method Accuracy for Wave Propagation Problems,J.SoilMech.Foundation,Proc.ASCE,1973,99( SM5 ) ,:42 1- 4 2 7
[12 ] Chandrakant S.Desal and John T.Christian.Numerical methods in Geotechnical Engineering.Mc Graw-Hill Book Company,1977
[13] 朱可善 .长江三峡船闸花岗岩断续节理岩体尺度效应模拟 (三峡工程科研项目 ) ,重庆建筑大学 ,1995
[14 ] 哈秋舟令 ,李建林等 .三峡工程永久船闸陡高边坡岩体宏观力学参数研究 (国家“八五”重点科技攻关项目 ,85- 16 - 0 3- 0 5 ( 3) ) ,中国长江三峡工程开发总公司 ,葛洲坝水电工程学院 ,1995
[15 ] 哈秋舟令 ,陈洪凯 .长江三峡工程岩石边坡地下水渗流及排水研究〔M〕.北京 :中国建筑工业出版社 ,1997
[16 ] 李思慎 .长江工程渗流问题研究〔J〕.长江科学院报 (增刊 ) ,1992 ,2 9:99- 10 5
[2 ] Zhao Chongbin,Valliappan S.,Effect of canyon topographic conditions on groud motion due to harmonic Pand SV wave incidences〔J〕,Proceedings of10 th Word Conference on Earthquake Engng,Madrid,Spain,1992
[3] Trifunac,M.D.,Scattering of plane SH waves by a semi- cylindrical canyon,Int.J.Earthq〔J〕.EngngStruct.Dyn.,No. 1,2 6 7- 2 81,1973
[4] 袁晓铭 ,廖震鹏 .圆弧形凹陷地形对平面 SH波散射问题的级数解答〔J〕.地震工程与工程振动 ,1993,13( 2 ) :1- 11[5 ] Degrande,G.& Roeck,G.D.,An absorbing boundary condition for wave propagatoin in saturated poro-elastic media Part II:Finite Element Formulation,Soil Dynamics and Earth- quake Engineering12 ,1993,12 :42 2 - 4 32
[6 ] 吴德伦 ,张建华 .饱和孔隙介质中波动分析的加权吸收边界条件〔J〕.岩土工程学报 ,1997,19( 4) :5 7- 6 5
[7] 李建林 .三峡工程永久船闸高边坡宏观力学参数研究〔D〕.重庆 :重庆建筑大学 ,1996
[8] Snow D.T.,Anisotropic permeability of fracture media,Water Resour.Res.,196 9( 5 )
[9] 陈洪凯 ,三峡工程永久船闸岩体渗流与排水机理研究〔D〕.重庆 :重庆建筑大学 ,1996
[10 ] Denis Fabre & Jerzy Gustkiewicz.Poroelstic properties of limestones and sandstones under hydrostaticconditions,Int.J.Rock.Mech.Min.Sci.& Geomech.Abstr.,1997,34 ( 1) :12 7- 134
[11] Kuhlemeyer,R.L.& L ysmer,J..Finite Element Method Accuracy for Wave Propagation Problems,J.SoilMech.Foundation,Proc.ASCE,1973,99( SM5 ) ,:42 1- 4 2 7
[12 ] Chandrakant S.Desal and John T.Christian.Numerical methods in Geotechnical Engineering.Mc Graw-Hill Book Company,1977
[13] 朱可善 .长江三峡船闸花岗岩断续节理岩体尺度效应模拟 (三峡工程科研项目 ) ,重庆建筑大学 ,1995
[14 ] 哈秋舟令 ,李建林等 .三峡工程永久船闸陡高边坡岩体宏观力学参数研究 (国家“八五”重点科技攻关项目 ,85- 16 - 0 3- 0 5 ( 3) ) ,中国长江三峡工程开发总公司 ,葛洲坝水电工程学院 ,1995
[15 ] 哈秋舟令 ,陈洪凯 .长江三峡工程岩石边坡地下水渗流及排水研究〔M〕.北京 :中国建筑工业出版社 ,1997
[16 ] 李思慎 .长江工程渗流问题研究〔J〕.长江科学院报 (增刊 ) ,1992 ,2 9:99- 10 5
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