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Book ChapterDOI

Basic Mechanics of Oil Reservoir Flows

Myron B. AllenIII
- pp 1-86
TLDR
In the past decade or so the reservoir engineer's reliance on mathematical models has grown at a remarkable rate, and, in view of the evolution of many other successful branches of engineering, it seems fair to expect this reliance to continue increasing as discussed by the authors.
Abstract
A petroleum reservoir is a complicated mixture of porous rock, brine, and hydrocarbon fluids, usually residing underground at depths that prohibit extensive measurement and characterization. Petroleum reservoir engineers face the difficult task of using their understanding of reservoir mechanics to design schemes for recovering hydrocarbons efficiently. In the past decade or so the reservoir engineer’s reliance on mathematical models has grown at a remarkable rate, and, in view of the evolution of many other successful branches of engineering, it seems fair to expect this reliance to continue increasing. This monograph examines several aspects of the development of mathematical reservoir models. Before embarking on technical discussions, though, we shall give a brief, relatively nontechnical survey of how an oil reservoir works.

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Citations
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Journal ArticleDOI

On the use of nonstandard finite difference methods

TL;DR: In this survey article, the author tries to provide as much stimulating information as available regarding these NSFDMs to the researchers, which will be helpful for them as the research proceeds in this direction.
Journal ArticleDOI

Macroscopic equations of motion for two-phase flow in porous media

TL;DR: In this article, a more general system of macroscopic equations for two-phase immiscible displacement in porous media is derived that incorporates the spatiotemporal variation of interfacial energies.
Journal ArticleDOI

Non-standard numerical methods applied to subsurface biobarrier formation models in porous media.

TL;DR: A new numerical method is developed for simulation of reactive bacterial transport in porous media based on the ideas of the ‘exact’ time-stepping scheme, which leads to solutions free from the numerical instabilities that arise from incorrect modeling of derivatives and reaction terms.
Book ChapterDOI

Numerical modeling of carbon dioxide injection and transport in Deep Saline Aquifers

TL;DR: In this paper, a compositional reservoir simulator capable of modeling multiphase transport of carbon dioxide (CO2) in brine aquifers is presented, and results are provided that illustrate the evolution of a 2-phase fluid system in which the injected CO2 resides in a dense supercritical phase and also dissolves into the liquid phase.
References
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Book

The Properties of Gases and Liquids

TL;DR: In this article, the authors estimate physical properties of pure components and Mixtures and show that the properties of these components and mixtures are similar to those of ideal gases and liquids.
Book

Dynamics of fluids in porous media

Jacob Bear
TL;DR: In this paper, the Milieux poreux Reference Record was created on 2004-09-07, modified on 2016-08-08 and the reference record was updated in 2016.
Journal ArticleDOI

A New Two-Constant Equation of State

TL;DR: In this paper, the attractive pressure term of the semi-empirical van der Waals equation has been modified for predicting the vapor pressure and volumetric behavior of singie-component systems.
Journal ArticleDOI

Dispersion of soluble matter in solvent flowing slowly through a tube

TL;DR: In this paper, it was shown analytically that the distribution of concentration produced in this way is centred on a point which moves with the mean speed of flow and is symmetrical about it in spite of the asymmetry of the flow.
Book

Petroleum Reservoir Simulation

Khalid Aziz
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