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Salt precipitation in porous media and multi-valued solutions G. G. Tsypkin Institute for Problems in Mechanics RAS, Moscow, Russia. Petroleum engineering – gas hydrate, paraffin etc. formation Soil sciences – salt precipitation, ice formation etc. Chemical engineering – filters
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Salt precipitation in porous media and multi-valued solutionsG. G. TsypkinInstitute for Problems in Mechanics RAS, Moscow, Russia Petroleum engineering –gas hydrate, paraffin etc. formation Soil sciences –salt precipitation, ice formation etc. Chemical engineering – filters Geothermal reservoir engineering –salt precipitation, crystallization of components due to chemical reactions etc.
SPE 68953The Precipitation of Salt in Gas Producing WellsW. Kleinitz, SPE, M. Koehler and G. Dietzsch, SPE, Preussag Energie GmbH, Germany. 2001.Scanning electron micrographof precipitate formation in the sample of rock
Sketch of the problem: salt precipitation in geothermal reservoirs
Basic equations Vapor domain: Water domain: –porosity, – density, k – permeability, µ – viscosity, w– compressibility, h – specific enthalpy, e – the specific internal energy, – thermal conductivity,T– temperature, P– pressure, v – filter velocity, Spr– solid salt saturation, c – salt concentration
Boundary conditions through the interface Discontinuities of water and salt saturation functions Mass balance for H2O and salt: Momentum balance: Thermodynamic equilibrium: Energy balance: Initial and boundary conditions Similarity solution
Variation of the mass of salt in the vapour domain as a function of reservoir pressureTsypkin G., Woods A. J. Fluid Mech. 2005
Analytic (1) and numerical results (2)Tsypkin G., Calore C. Proc. 32nd Workshop on Geothermal Reservoir Engineering, Stanford, 2007
Salt diffusion influence in low-permeability reservoirsTsypkin G. Fluid Dynamics. 2009. T = const
Conclusions • There are two self-similar solution branches for precipitation problem • These two branches coincide for critical values of the parameters, and above these values, the self-similar solution ceases to exist • For a higher initial pressure and larger well pressure rock becomes fully sealed with salt • Salt diffusion may lead to a sleeping regime formation in low-permeability rock