6533b7dcfe1ef96bd1271dc0

RESEARCH PRODUCT

Transient solutions for temperature and pressure waves in fluid-saturated porous rocks

Ettore SalustiGiuseppe Natale

subject

ConvectionShock waveGeophysicsTemperature and pressureMaterials scienceGeochemistry and PetrologyScale analysis (mathematics)Fluid dynamicsGeophysicsMechanicsTransient (oscillation)PorosityGeothermal gradient

description

SUMMARY In this paper, hot-fluid migration dynamics for a fluid-saturated porous rock is analysed theoretically. We first recall a Bonafede model implemented with a classical scale analysis; this allows us to discuss a fully non-linear formulation related to transient phenomena, which is solved analytically as a solitary shock wave. The resulting time-scales are particularly small, corresponding to intense short-time geothermal phenomena. A novel non-linear migration mechanism, related to Darcy convection, is also discussed.

https://doi.org/10.1111/j.1365-246x.1996.tb05630.x