PROPAGATION OF HARMONIC WAVES IN LAYERED TRANSVERSELY ISOTROPIC SHELLS
SEISMIC SIGNALS SEISMOGRAM ANALYSIS SEISMIC WAVES THE EFFECT OF PRESTRESS MATERIAL ANISOTROPY ATTENUATION HETEROGENEITY STRATI?ED MODELS PREVIEW 2 COUPLED EQUATIONS FOR SEISMIC WAVES DEPTH DEPENDENT PROPERTIES COUPLED SECOND ORDER EQUATIONS AND PROPAGATION INVARIANTS RECOVERY OF SPATIAL DISPLACEMENT FROM B VECTOR FUNDAMENTAL AND PROPAGATOR MATRICES THE PROPAGATOR MATRIX PROPAGATORS AND SOURCES 3 STRESS-DISPLACEMENT FIELDS A UNIFORM MEDIUM A SMOOTHLY VARYING MEDIUM UNIFORM APPROXIMATIONS FOR A SMOOTHLY VARYING MEDIUM AN ASYMPTOTIC EXPANSION INTERACTION SERIES RELATION TO EIGENVECTOR DECOMPOSITION 3 A APPENDIX: TRANSVERSE ISOTROPY 4 SEISMIC SOURCES EQUIVALENT FORCES AND MOMENT TENSOR DENSITIES THE REPRESENTATION THEOREM SOURCE REPRESENTATION RELAXATION SOURCES THE MOMENT TENSOR AND SOURCE RADIATION A SMALL FAULT RADIATION INTO AN UNBOUNDED MEDIUM IN?UENCES ON RADIATION PATTERNS THE SOURCE AS A STRESS-DISPLACEMENT VECTOR DISCONTINUITY WAVEVECTOR REPRESENTATION OF A SOURCE 5 RE?ECTION AND TRANSMISSION I RE?ECTION AND TRANSMISSION AT AN INTERFACE SH WAVES COUPLED P AND SV WAVES THE VARIATION OF RE?ECTION COEF?CIENTS WITH SLOWNESS A STRATI?ED REGION THE WAVE-PROPAGATOR DISPLACEMENT MATRIX REPRESENTATIONS GENERALISATION OF RE?ECTION MATRICES RE?ECTION MATRICES FOR SPHERICAL STRATI?CATION 5 A APPENDIX: UNITARY RELATIONS FOR RE?ECTION AND TRANSMISSION 6 RE?ECTION AND TRANSMISSION II RE?ECTION AND TRANSMISSION MATRICES FOR COMPOSITE REGIONS SUPERIMPOSED STRATI?CATION GENERALISATION OF ADDITION RULES INTERPRETATION OF ADDITION RULES RE?ECTION FROM A STACK OF UNIFORM LAYERS RECURSIVE CONSTRUCTION SCHEME COMPARISON BETWEEN RECURSIVE AND PROPAGATOR METHODS RE?ECTION MATRICES FOR PIECEWISE SMOOTH MODELS RE?ECTION FROM A GRADIENT ZONE GRADIENT ZONE CALCULATIONS THE TIME DEPENDENCE OF RE?ECTIONS FROM A STRATI?ED REGION 6 A APPENDIX: MIXED SOLID AND ?UID STRATI?CATION 7 THE RESPONSE OF A STRATI?ED HALF SPACE THE EQUIVALENT SURFACE SOURCE REPRESENTATION A SOURCE AT DEPTH TREATMENT VIA FREE-SURFACE RE?ECTION MATRICES EXPLICIT REPRESENTATION OF FREE-SURFACE RE?ECTIONS RECOVERY OF THE RESPONSE IN SPACE AND TIME THE SPECTRAL METHOD THE SLOWNESS METHOD EXAMPLES OF COMPLETE THEORETICAL SEISMOGRAMS 8 THE SEISMIC WAVE?ELD CONTROLLED SOURCE SEISMOLOGY RE?ECTION STUDIES REFRACTION STUDIES RANGES LESS THAN 1500 KM STRONG GROUND-MOTION LOCAL EVENTS REGIONAL EVENTS BODY WAVES AND SURFACE WAVES BODY WAVES SURFACE WAVES LONG RANGE PROPAGATION 9 APPROXIMATIONS TO THE RESPONSE OF THE STRATI?CATION SURFACE RE?ECTIONS SURFACE MULTIPLES ALTERNATIVE APPROACH FOR SURFACE RE?ECTIONS SPLIT STRATI?CATION PROPAGATION IN THE UPPER ZONE DEEPER PROPAGATION SOURCES AT DEPTH APPROXIMATE INTEGRATION TECHNIQUES RE?ECTIVITY METHODS APPROXIMATIONS FOR SPECI?C SEISMIC PHASES TELESEISMIC P AND S PHASES 10 GENERALIZED RAY THEORY GENERATION OF GENERALIZED RAY EXPANSIONS 10 1 1 UNIFORM LAYER MODELS 10 1 2 PIECEWISE SMOOTH MEDIA RAY SELECTION AND GENERATION SLOWNESS RESULTS FOR GENERALIZED RAYS THE CAGNIARD METHOD 10 4 1 THE CAGNIARD PATH 10 4 2 FIRST-MOTION APPROXIMATIONS THE CHAPMAN METHOD ATTENUATION AND GENERALIZED RAYS 11 MODAL SUMMATION THE LOCATION OF THE POLES SH WAVE DISPERSION: LOVE WAVES 11 2 1 A LAYER OVER A HALF SPACE 11 2 2 LOVE WAVES IN A STRATI?ED MEDIUM P-SV WAVE DISPERSION: RAYLEIGH WAVES 11 3 1 P AND S WAVES EVANESCENT 11 3 2 S PROPAGATING, P EVANESCENT 11 3 3 PROPAGATING P AND S WAVES DISPERSION CURVES 11 4 1 DISPERSION BEHAVIOUR OF AN UPPER MANTLE MODEL 11 4 2 SURFACE WAVES AND CHANNEL WAVES 11 4 3 COMPUTATION OF SURFACE WAVE DISPERSION 11 4 4 VARIATIONAL RESULTS THEORETICAL SEISMOGRAMS BY MODAL SUMMATION 11 5 1 MODE BRANCH CONTRIBUTIONS 11 5 2 EXAMPLES OF MODAL SYNTHESIS SEPARATION OF BODY WAVE PHASES 11 A APPENDIX: MODAL RESIDUE CONTRIBUTIONS