Full metadata
Title
Shape factors for the pseudo-steady state flow in fractured hydrocarbon wells of various drainage area geometries
Description
Pseudo-steady state (PSS) flow is an important time-dependent flow regime that
quickly follows the initial transient flow regime in the constant-rate production of
a closed boundary hydrocarbon reservoir. The characterization of the PSS flow
regime is of importance in describing the reservoir pressure distribution as well as the
productivity index (PI) of the flow regime. The PI describes the production potential
of the well and is often used in fracture optimization and production-rate decline
analysis. In 2016, Chen determined the exact analytical solution for PSS flow of a
fully penetrated vertically fractured well with finite fracture conductivity for reservoirs
of elliptical shape. The present work aimed to expand Chen’s exact analytical solution
to commonly encountered reservoirs geometries including rectangular, rhomboid,
and triangular by introducing respective shape factors generated from extensive
computational modeling studies based on an identical drainage area assumption. The
aforementioned shape factors were generated and characterized as functions for use
in spreadsheet calculations as well as graphical format for simplistic in-field look-up
use. Demonstrative use of the shape factors for over 20 additional simulations showed
high fidelity of the shape factor to accurately predict (mean average percentage error
remained under 1.5 %) the true PSS constant by modulating Chen’s solution for
elliptical reservoirs. The methodology of the shape factor generation lays the ground
work for more extensive and specific shape factors to be generated for cases such as
non-concentric wells and other geometries not studied.
quickly follows the initial transient flow regime in the constant-rate production of
a closed boundary hydrocarbon reservoir. The characterization of the PSS flow
regime is of importance in describing the reservoir pressure distribution as well as the
productivity index (PI) of the flow regime. The PI describes the production potential
of the well and is often used in fracture optimization and production-rate decline
analysis. In 2016, Chen determined the exact analytical solution for PSS flow of a
fully penetrated vertically fractured well with finite fracture conductivity for reservoirs
of elliptical shape. The present work aimed to expand Chen’s exact analytical solution
to commonly encountered reservoirs geometries including rectangular, rhomboid,
and triangular by introducing respective shape factors generated from extensive
computational modeling studies based on an identical drainage area assumption. The
aforementioned shape factors were generated and characterized as functions for use
in spreadsheet calculations as well as graphical format for simplistic in-field look-up
use. Demonstrative use of the shape factors for over 20 additional simulations showed
high fidelity of the shape factor to accurately predict (mean average percentage error
remained under 1.5 %) the true PSS constant by modulating Chen’s solution for
elliptical reservoirs. The methodology of the shape factor generation lays the ground
work for more extensive and specific shape factors to be generated for cases such as
non-concentric wells and other geometries not studied.
Date Created
2017
Contributors
- Sharma, Ankush, M.S (Author)
- Chen, Kang Ping (Thesis advisor)
- Green, Matthew D (Thesis advisor)
- Emady, Heather (Committee member)
- Arizona State University (Publisher)
Topical Subject
- Petroleum Engineering
- chemical engineering
- Mechanical Engineering
- fractured Vertical well
- Psuedo Steady State Flow
- rectangular
- Semi Steady State
- Shape Factor
- Square
- Hydrocarbon reservoirs
- Uniform flow (Fluid dynamics)
- Shape theory (Topology)
- Oil wells--Hydraulic fracturing.
- Wells--Fluid dynamics.
- Oil reservoir engineering--Mathematical models.
Resource Type
Extent
viii, 45 pages : illustrations (some color)
Language
Copyright Statement
In Copyright
Primary Member of
Peer-reviewed
No
Open Access
No
Handle
https://hdl.handle.net/2286/R.I.44991
Statement of Responsibility
by Ankush Sharma
Description Source
Viewed on May 20, 2020
Level of coding
full
Note
Partial requirement for: M.S., Arizona State University, 2017
Note type
thesis
Includes bibliographical references (pages 30-32)
Note type
bibliography
Field of study: Chemical engineering
System Created
- 2017-08-01 08:00:29
System Modified
- 2021-08-26 09:47:01
- 2 years 8 months ago
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