Please enable JavaScript for this site to function properly.
OnePetro
  • Help
  • About us
  • Contact us
Menu
  • Home
  • Journals
  • Conferences
  • Log in / Register

Log in to your subscription

and
Advanced search Show search help
  • Full text
  • Author
  • Company/Institution
  • Publisher
  • Journal
  • Conference
Boolean operators
This OR that
This AND that
This NOT that
Must include "This" and "That"
This That
Must not include "That"
This -That
"This" is optional
This +That
Exact phrase "This That"
"This That"
Grouping
(this AND that) OR (that AND other)
Specifying fields
publisher:"Publisher Name"
author:(Smith OR Jones)

Elliptical Flow In Composite Reservoirs

Authors
J.F. Stanislav | C.V. Easwaran | S.L. Kokal
DOI
https://doi.org/10.2118/92-10-06
Document ID
PETSOC-92-10-06
Publisher
Petroleum Society of Canada
Source
Journal of Canadian Petroleum Technology
Volume
31
Issue
10
Publication Date
October 1992
Document Type
Journal Paper
Language
English
ISSN
0021-9487
Copyright
1992. Petroleum Society of Canada
Disciplines
1.2.3 Rock properties
Downloads
0 in the last 30 days
263 since 2007
Show more detail
View rights & permissions
SPE Member Price: USD 12.00
SPE Non-Member Price: USD 35.00
Abstract

Composite reservoir systems are frequently encountered in production or injection operations. In most of the recent modelling efforts a set of concentric cylinders has been used to describe a composite nature of a reservoir. Some systems, however, exhibit nonisotropical rock heterogeneities.

In this paper, an elliptical flow model accounting for the non isotropic reservoir properties is proposed. The model describes the effects of the wellbore storage. the wellbore skin and the front skin. The model sensitivity to the storativity, F, [defined by equation (AJ)] and mobility ratios and the front skin was investigated as well as the effect of these parameter on the flow characteristics

Introduction

Oil and gas reservoirs are frequently featured by heterogeneous rock and fluid properties. Formation heterogeneities may either be of a natural origin, such as vugs, or man-made; for instance, fractures intercepting wells, injected water bubbles, the burned or steam swept regions in thermal oil recovery processes, etc. Formations which are featured by radial or quasi-radial discontinuities in terms of fluid mobilities and hydraulic diffusivities are referred to as composite systems.

The majority of studies on composite reservoirs provide the system description in terms of the radial coordinates; rock isotropy is [hen a necessary requirement.

However, several situations exist when elliptical flow may occur: a case of anisotropic systems; a fracture intercepting a well water influx from an aquifer into an elliptical reservoir and the gravity override and/or underride in case of thermal processes.

In the recent past, various aspects of elliptical flow under the reservoir conditions were investigated by Kucuk and Brigham (l), Obut and Enekin (2) and Stanislav et al. (3). The objective of this study is to determine the system sensitivity to a variety of parameters under the line source inner boundary condition.

Mathematical Model

A two-zone elliptical composite system is considered. Each region is featured by different fluid and rock properties. A well is located at the origin of the coordinate system as shown in Figure I. The model is developed subject to the following assumptions: single phase fluid of constant compressibility is considered; the Formation is characterized by a constant thickness and homogeneous properties in each of the two regions; the two-dimensional elliptical flow takes place in both regions; the front (the interphase between the two regions) is stationary during the test period.

Other features of the model will be introduced in connection with the formulation of the boundary conditions.

The dimensionless form of the flow equation can be written as follows:

region I:
Equation (1) (Available in full paper)

Equation (2) (Available in full paper)

Equation (3) (Available in full paper)

Equation (4) (Available in full paper)

Equation (5) (Available in full paper)

Equation (6) (Available in full paper)

Equation (7) (Available in full paper)

Equation (8) (Available in full paper)

The set of equations, equations (I) to (8), represents a complete mathematical description of the problem considered. All dimensionless quantities are defined in Appendix A.

FIGURE 1. Coordinate system

FIGURE 2, Effects of CO and Sh on P ∞D for a homogenous system.
File Size  191 KBNumber of Pages   5
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 11/12
    • Issue 9/10
    • Issue 7/8
    • Issue 7
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 13
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 12
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 11
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 10
    • Issue 09
    • Issue 08
    • Issue 07
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 02
    • Issue 01
    • Issue 06
    • Issue 05
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
    • Issue 04
    • Issue 03
    • Issue 02
    • Issue 01
Show more

Other Resources

Looking for more? 

Some of the OnePetro partner societies have developed subject- specific wikis that may help.


 


PetroWiki was initially created from the seven volume  Petroleum Engineering Handbook (PEH) published by the  Society of Petroleum Engineers (SPE).








The SEG Wiki is a useful collection of information for working geophysicists, educators, and students in the field of geophysics. The initial content has been derived from : Robert E. Sheriff's Encyclopedic Dictionary of Applied Geophysics, fourth edition.

  • Home
  • Journals
  • Conferences
  • Copyright © SPE All rights reserved
  • About us
  • Contact us
  • Help
  • Terms of use
  • Publishers
  • Content Coverage
  • Privacy
  Administration log in