Modelling alternatives Sample Clauses

Modelling alternatives. The above general equations can be rewritten in a simpler manner if some hypotheses are introduced. Particularly, if it is assumed that pore air pressure is constant and equal to the atmospheric pressure, and that relative velocities and accelerations of fluids relative to solid skeleton are small, the general equations of the previous paragraphs can be cast in terms of velocity of the solid skeleton and Xxxxx’x velocities of pore water. By adopting these hypotheses, the averaged pore pressure defined by the equation (2.2.2.6) reduces to: p = Srw pw and the effective stress tensor to the equation: σ ' = σ + Srw pwI (2.2.2.20) (2.2.2.21) By neglecting the acceleration of water relative to soil grains the balance of momentum equation for the mixture (2.2.2.15) can be written as: div(σ '− pI ) + ρb = ρ dv dt while, the balance momentum of the pore water (2.2.2.15) becomes: