6,360 research outputs found
On the upstream mobility scheme for two-phase flow in porous media
When neglecting capillarity, two-phase incompressible flow in porous media is
modelled as a scalar nonlinear hyperbolic conservation law. A change in the
rock type results in a change of the flux function. Discretizing in
one-dimensional with a finite volume method, we investigate two numerical
fluxes, an extension of the Godunov flux and the upstream mobility flux, the
latter being widely used in hydrogeology and petroleum engineering. Then, in
the case of a changing rock type, one can give examples when the upstream
mobility flux does not give the right answer.Comment: A preprint to be published in Computational Geoscience
Applications of the DFLU flux to systems of conservation laws
The DFLU numerical flux was introduced in order to solve hyperbolic scalar
conservation laws with a flux function discontinuous in space. We show how this
flux can be used to solve systems of conservation laws. The obtained numerical
flux is very close to a Godunov flux. As an example we consider a system
modeling polymer flooding in oil reservoir engineering
Transport of polymer particles in a oil-water flow in porous media: enhancing oil recovery
We study a heuristic, core-scale model for the transport of polymer particles
in a two phase (oil and water) porous medium. We are motivated by recent
experimental observations which report increased oil recovery when polymers are
injected after the initial waterflood. The recovery mechanism is believed to be
microscopic diversion of the flow, where injected particles can accumulate in
narrow pore throats and clog it, in a process known as a log-jamming effect.
The blockage of the narrow pore channels lead to a microscopic diversion of the
water flow, causing a redistribution of the local pressure, which again can
lead to the mobilization of trapped oil, enhancing its recovery. Our objective
herein is to develop a core-scale model that is consistent with the observed
production profiles. We show that previously obtained experimental results can
be qualitatively explained by a simple two-phase flow model with an additional
transport equation for the polymer particles. A key aspect of the formulation
is that the microscopic heterogeneity of the rock and a dynamic altering of the
permeability must be taken into account in the rate equations.Comment: 20 pages, 9 Figures Submitted to Transport in Porous Medi
Numerical Investigation of Two-Phase Flow through a Fault
Imperial Users onl
Study of full implicit petroleum engineering finite volume scheme for compressible two phase flow in porous media
An industrial scheme, to simulate the two compressible phase flow in porous
media, consists in a finite volume method together with a phase-by-phase
upstream scheme. The implicit finite volume scheme satisfies industrial
constraints of robustness. We show that the proposed scheme satisfy the maximum
principle for the saturation, a discrete energy estimate on the pressures and a
function of the saturation that denote capillary terms. These stabilities
results allow us to derive the convergence of a subsequence to a weak solution
of the continuous equations as the size of the discretization tends to zero.
The proof is given for the complete system when the density of the each phase
depends on the own pressure
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