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SHAFT-79, 2 Phase Flow in Porous Media for Geothermic Energy System

Abstract

1 - Description of problem or function: SHAFT79 (Simultaneous Heat And Fluid Transport) is an integrated finite difference program for computing two-phase non-isothermal flow in porous media. Although designed for simulating production and injection in geothermal reservoirs, it is, or can be readily modified to be, applicable to other two-phase problems. SHAFT79 solves coupled mass and energy balance equations based on the following major assumptions: the physical system is a system of porous rock saturated with a one-component fluid in liquid and vapor form; all rock properties, except porosity, i.e., density, specific heat, thermal conductivity, and absolute permeability are independent of temperature, pressure, or vapor saturation: and liquid, vapor, and rock matrix are at the same temperature and pressure at all times. Capillary pressure is neglected. 2 - Method of solution: The solution method is an explicit-implicit integrated finite difference approach which allows a flexible geometric description because it does not distinguish between one-, two-, or three-dimensional regular or irregular geometries. The non-linear finite difference equations are solved using the Newton- Raphson method. In SHAFT79 a fluid table is used to provide the equilibrium thermodynamic properties of the fluid filling the void space - temperature, pressure, vapor saturation, heat conductivity,  More>>
Authors:
Pruess, K; Schroeder, R C [1] 
  1. Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)
Publication Date:
Nov 20, 1981
Product Type:
Miscellaneous
Resource Relation:
Other Information: Country of input: International Atomic Energy Agency (IAEA); 6 refs.
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 42 ENGINEERING; CAPILLARIES; COMPUTER PROGRAM DOCUMENTATION; COMPUTERIZED SIMULATION; ENERGY BALANCE; ENERGY SYSTEMS; EQUATIONS OF STATE; EQUILIBRIUM; FINITE DIFFERENCE METHOD; GEOMETRY; GEOTHERMAL SYSTEMS; HEAT; INTERPOLATION; LIQUIDS; MASS; MATRICES; NONLINEAR PROBLEMS; PERMEABILITY; POROSITY; POROUS MATERIALS; RESERVOIR ENGINEERING; ROCKS; S CODES; SPECIFIC HEAT; THERMAL CONDUCTIVITY; THREE-DIMENSIONAL CALCULATIONS; TWO-PHASE FLOW; VAPOR PRESSURE; VAPORS; WATER; WEBSITES; BLOOD VESSELS; BODY; CALCULATION METHODS; CARDIOVASCULAR SYSTEM; COMPUTER CODES; DOCUMENT TYPES; ENERGY; ENGINEERING; EQUATIONS; FLUID FLOW; FLUIDS; GASES; HYDROGEN COMPOUNDS; ITERATIVE METHODS; MATERIALS; MATHEMATICAL SOLUTIONS; MATHEMATICS; NUMERICAL SOLUTION; ORGANS; OXYGEN COMPOUNDS; PHYSICAL PROPERTIES; SIMULATION; THERMODYNAMIC PROPERTIES
OSTI ID:
21345092
Research Organizations:
Organisation for Economic Co-Operation and Development, Nuclear Energy Agency - OECD/NEA, Le Seine Saint-Germain, 12 boulevard des Iles, F-92130 Issy-les-Moulineaux (France)
Country of Origin:
NEA
Language:
English
Other Identifying Numbers:
TRN: XN10V1766075994
Availability:
Available on-line: http://www.nea.fr/abs/html/nesc0893.html
Submitting Site:
INIS
Size:
[html] pages
Announcement Date:
Oct 28, 2010

Citation Formats

Pruess, K, and Schroeder, R C. SHAFT-79, 2 Phase Flow in Porous Media for Geothermic Energy System. NEA: N. p., 1981. Web.
Pruess, K, & Schroeder, R C. SHAFT-79, 2 Phase Flow in Porous Media for Geothermic Energy System. NEA.
Pruess, K, and Schroeder, R C. 1981. "SHAFT-79, 2 Phase Flow in Porous Media for Geothermic Energy System." NEA.
@misc{etde_21345092,
title = {SHAFT-79, 2 Phase Flow in Porous Media for Geothermic Energy System}
author = {Pruess, K, and Schroeder, R C}
abstractNote = {1 - Description of problem or function: SHAFT79 (Simultaneous Heat And Fluid Transport) is an integrated finite difference program for computing two-phase non-isothermal flow in porous media. Although designed for simulating production and injection in geothermal reservoirs, it is, or can be readily modified to be, applicable to other two-phase problems. SHAFT79 solves coupled mass and energy balance equations based on the following major assumptions: the physical system is a system of porous rock saturated with a one-component fluid in liquid and vapor form; all rock properties, except porosity, i.e., density, specific heat, thermal conductivity, and absolute permeability are independent of temperature, pressure, or vapor saturation: and liquid, vapor, and rock matrix are at the same temperature and pressure at all times. Capillary pressure is neglected. 2 - Method of solution: The solution method is an explicit-implicit integrated finite difference approach which allows a flexible geometric description because it does not distinguish between one-, two-, or three-dimensional regular or irregular geometries. The non-linear finite difference equations are solved using the Newton- Raphson method. In SHAFT79 a fluid table is used to provide the equilibrium thermodynamic properties of the fluid filling the void space - temperature, pressure, vapor saturation, heat conductivity, liquid and vapor viscosities, densities, specific interval energies - as functions of fluid density and fluid specific internal energy. All thermodynamic information including derivatives is obtained from the fluid table by bivariate interpolation. 3 - Restrictions on the complexity of the problem: SHAFT79 has been developed only for systems of water and rock. The fluid table covers most of the equation of state of water substance in the temperature range of 5 to 400 degrees C and the pressure range of 0.5 to 220 bar, which is adequate for most geothermal applications}
place = {NEA}
year = {1981}
month = {Nov}
}