Application of the uniform sampling method to transport equations

Journal Article · Fri Jan 01 00:00:00 EST 1988 · In Situ; (United States)

OSTI ID:6465277

Brantferger, K M; Sepehrnoori, K; Pope, G A ^[1]

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1. Dept. of Petroleum Engineering, The Univ. of Texas at Austin, Austin, TX (US)

A semi-analytical technique called the uniform sampling method is described. the method is based on a subset of the method of characteristics known as simple wave theory and is used to model one-dimensional hyperbolic conservation laws exhibiting discontinuous flows. It is reviewed using the Buckley-Leverett problem to demonstrate its implementation. The uniform sampling method is then applied to three successively more complex problems. First, it is used to model the flow of acid through a capillary tube. Second, it is implemented within a sandstone acidizing simulator wherein the governing transport equation is coupled with two mineral dissolution equations through a source term. And last, the dual system of conservation laws describing the three phase flow of oil, gas and water is modeled using the uniform sampling method with an approximate Riemann solver.

• OSTI ID: 6465277
• Journal Information: In Situ; (United States), Vol. 12:3
• Country of Publication: United States
• Language: English

Related Subjects

04 OIL SHALES AND TAR SANDS
02 PETROLEUM
03 NATURAL GAS
RESERVOIR ROCK
SIMULATORS
SANDSTONES
ONE-DIMENSIONAL CALCULATIONS
ACIDIZATION
ANALYTICAL SOLUTION
CALCULATION METHODS
CONSERVATION LAWS
EQUATIONS
FLUID FLOW
GAS FLOW
IN-SITU RETORTING
PETROLEUM
SAMPLING
WATER
ANALOG SYSTEMS
CHEMICAL REACTIONS
DECOMPOSITION
ENERGY SOURCES
FOSSIL FUELS
FUELS
FUNCTIONAL MODELS
HYDROGEN COMPOUNDS
IN-SITU PROCESSING
OXYGEN COMPOUNDS
PROCESSING
RETORTING
ROCKS
SEDIMENTARY ROCKS
040401* - Oil Shales & Tar Sands- In Situ Methods
True & Modified
040500 - Oil Shales & Tar Sands- Properties & Composition
020300 - Petroleum- Drilling & Production
030300 - Natural Gas- Drilling
Production
& Processing