计算地震学ppt课件.ppt

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1、ComputationalSeismology-TheoryandPractice-SummerCourseGraduateUniversity,ChineseAcademyofSciencesBeijing,June,2010RongjiangWangHelmholtz-CentrePotsdamGermanResearchCentreforGeosciencesTelegrafenbergD-14473Potsdam,Germanywang@gfz-potsdam.deComputationalseismologyR.WangSyllabus1stday:Introducti

2、ontogeo-mechanicalboundaryvalueproblems(3hrs.)2ndday:Thedislocationtheoryandcomputationalseismology(3hrs.)3rdday:Thepropagatoralgorithmforcomputationofstaticco-seismicdeformation(2hrs.)IntroductiontosoftwareEDGRN/EDCMP(1hr.)4thday:Computationofquasi-staticpost-seismicdeformationduetoviscoelas

3、ticrelaxation(2hrs.)IntroductiontosoftwarePSGRN/PSCMP(1hr.)5thday:Seismicwavepropagationandsyntheticseismograms(2hrs.)IntroductiontosoftwareQSEIS(1hr.)6thday:Exerciseswithanyabovetoolsselectedbystudents(3hrs.)7thday:Studentreportanddiscussion(2hrs.)SyllabusR.WangIntroductiontoGeo-mechanicalBo

4、undary-valueProblemsIntroduction–0R.Wang1.1Displacement,strainandstress1.2Equationsofmotion1.3Constitutiverelations1.4Boundary-valueproblemsforaself-gravitatingandhydrostaticallypre-stressedEarthIntroduction–1R.Wang1.1Displacement,strainandstressDisplacementvectorDefine:u=u(x,t)wheret=timex=p

5、ositionvectoroftheparticleconsideredinareferencesystemrelatedtotheun-deformedformation(materialdescription)Consideralineelement:xwithtwoendpointsatxandx+x.Itbecomesafterdeformation:x+uForinfinitesimaldeformationu=u(x+x)-u(x)=(x·)uorui=ui,jxj(Einsteinsummationconvention)xx+xxx+ux

6、+u(x)x+x+u(x+x)u(x)u(x+x)Introduction–2R.WangStraintensorSeparationoftruedistortionfromrigidrotation:ui,j=(ui,j+uj,i)/2+(ui,j–uj,i)/2Thetruedistortionisgivenbythesymmetricstraintensorwith6independentcomponents:eij=(ui,j+uj,i)/2andtherigid-bodyrotationbytherotationvectorwith3independentcomp

7、onents:ij=(ui,j–ui,j)/2i.e.,1=32=–232=13=–313=21=–12or=(u)/2Thenewlengthofthelineelementxbecomes

8、x+u

9、=(x·x+x·u+u·x)1/2=(xixi+2xieijxj)1/2=

10、x

11、(1+ieijj),where=x/

12、x

13、.Itshowsthattherigidrotationdoesnotchangetheleng