Multicomponent, multiphase flow in porous media with temperature variation
An understanding of injection methods requires knowledge of how temperature variations, phase equilibrium and multiphase flow in porous media interact. The material balance for each component and energy balance are cast as a system of non-strictly hyperbolic partial differential equations. This system of equations is solved using the method of characteristics. The model takes into account the phase behavior by using the Peng-Robinson equation of state to partition the individual components into different phases. Temperature effects are accounted for by the energy balance. Flow effects are modeled by using fractional flow curves and a Stone's three phase relative permeability model. Three major problems are studied in this dissertation. Each new problem adds an additional level of interaction to the solution before. The first problem eliminates the phase behavior aspect of the problem by studying the flow of a single component as it undergoes an isothermal phase change. The second problem couples the effects of temperature and flow behavior by including a second component that is immiscible with the original component. Finally, phase behavior is added by using a set of three partially miscible components that partition into two or three separate phases. Solutions for these equations are formed by spreading waves that propagate in space and time with a constant velocity. The spreading wave regions are connected by jump discontinuities or zones of constant state. The solutions are presented for the three example systems in the form of saturation or composition profiles and solution paths in the composition space. An analysis of the effect of varying some of the important parameters is also presented for each displacement system.
- Research Organization:
- Stanford Univ., CA (USA)
- OSTI ID:
- 6857384
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
020300* -- Petroleum-- Drilling & Production
DIFFERENTIAL EQUATIONS
ENERGY
ENERGY ANALYSIS
ENERGY SOURCES
ENERGY TRANSFER
ENGINEERING
ENHANCED RECOVERY
EQUATIONS
EQUATIONS OF STATE
FLOW MODELS
FLUID FLOW
FLUID INJECTION
FOSSIL FUELS
FUELS
GAS INJECTION
MASS TRANSFER
MATERIAL BALANCE
MATERIALS
MATHEMATICAL MODELS
MULTIPHASE FLOW
NET ENERGY
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PERMEABILITY
PETROLEUM
PHASE STUDIES
POROUS MATERIALS
RECOVERY
RESERVOIR ENGINEERING
STEAM INJECTION
TEMPERATURE DEPENDENCE