Case 1a 1b 2a 2b 3 4 5 6 – – Continuum 1-Phase 2-Phase 2-Phase 2-Phase 2-Phase 2-Phase Effective Effective Effective Effective Effective Model stresses stresses stresses stresses stresses stresses Equivalent Constitutive linear/ Elastoplastic Elastoplastic Elastoplastic Elastoplastic Elastoplastic relationship nonlinear Permeability - 0 10-5 10-4 10-3 10-2 (m/s) motion Horizontal Horizontal Horizontal Horizontal Horizontal Horizontal Shake Software Dynaflow Dynaflow Dynaflow Dynaflow Dynaflow Dynaflow Case 6a 6b 7a 7b 8 9 – – 1-Phase Continuum 1-Phase 2-Phase 2-Phase Total Effective Effective Effective Model stresses stresses stresses stresses Constitutive Equivalent Elastoplastic Elastoplastic Elastoplastic relationship linear/ linear Permeability - 0 10-5 10-2 (m/s) Horizontal + Horizontal + Horizontal + Horizontal + Input motion vertical vertical vertical vertical Shake Software Dynaflow Dynaflow Dynaflow Dynaflow Notes: The material properties for the SHAKE analyses (G/Gmax curves) will be computed from the constitutive model presented in paragraph 5.0 to ensure full compatibility of the input parameters between the EQL and NL analyses. the linear calculations with Dynaflow (case 1b) will consider the strain compatible properties calculated with Shake + Rayleigh damping. The P-wave analyses in or Dynaflow (cases 6a 6b) are run with the strain – VS compatible properties calculated for the horizontal motion (no further iterations on G and ); will be calculated assuming a constant bulk modulus (equal to the elastic VP one) and the strain compatible shear modulus. The 1-Phase analyses in effective stresses (case 2a 2b and 7a 7b) are run with a – – penalty formulation for the bulk modulus.
Case 1a – 1b 2a – 2b 3 4 5 6 Continuum 1-Phase 2-Phase 2-Phase 2-Phase 2-Phase 2-Phase Model stresses Effective stresses Effective stresses Effective stresses Effective stresses Effective stresses Constitutive relationship Equivalent linear/ nonlinear Elastoplastic Elastoplastic Elastoplastic Elastoplastic Elastoplastic Permeability (m/s) - 0 10-5 10-4 10-3 10-2 motion Horizontal Horizontal Horizontal Horizontal Horizontal Horizontal Software Shake Dynaflow Dynaflow Dynaflow Dynaflow Dynaflow Dynaflow Case 6a – 6b 7a – 7b 8 9 Continuum 1-Phase 1-Phase 2-Phase 2-Phase Model Total stresses Effective stresses Effective stresses Effective stresses Constitutive relationship Equivalent linear/ linear Elastoplastic Elastoplastic Elastoplastic Permeability (m/s) - 0 10-5 10-2 Input motion Horizontal + vertical Horizontal + vertical Horizontal + vertical Horizontal + vertical Software Shake Dynaflow Dynaflow Dynaflow Dynaflow Notes: The material properties for the SHAKE analyses (G/Gmax curves) will be computed from the constitutive model presented in paragraph 5.0 to ensure full compatibility of the input parameters between the EQL and NL analyses. the linear calculations with Dynaflow (case 1b) will consider the strain compatible properties calculated with Shake + Rayleigh damping. The P-wave analyses in or Dynaflow (cases 6a – 6b) are run with the VS strain compatible properties calculated for the horizontal motion (no further iterations on G and ); VP will be calculated assuming a constant bulk modulus (equal to the elastic one) and the strain compatible shear modulus. The 1-Phase analyses in effective stresses (case 2a – 2b and 7a – 7b) are run with a penalty formulation for the bulk modulus.
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