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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Waves in poroelastic solid saturated by a single-phase fluid
verfasst von : Juan Enrique Santos, Patricia Mercedes Gauzellino
Erschienen in: Numerical Simulation in Applied Geophysics
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This chapter contains the derivation of Biot’s theory describing the propagation of waves in a porous elastic solid saturated by a single-phase fluid. After deriving the constitutive relations and the form of the potential and kinetic energy densities and the dissipation function, the lagrangian formulation of the equations of motion is given. Next, a plane wave analysis is performed showing the existence of two compressional waves and one shear wave. An example showing the behaviour of all waves as function of frequency for a sample of Nivelsteiner sandstone saturated by water, oil and gas is included.