Back to Search
Start Over
Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs
- Source :
- Mathematical Problems in Engineering, Vol 2019 (2019)
- Publication Year :
- 2019
- Publisher :
- Hindawi Limited, 2019.
-
Abstract
- Selectively completed horizontal wells (SCHWs) can significantly reduce cost of completing wells and delay water breakthrough and prevent wellbore collapse in weak formations. Thus, SCHWs have been widely used in petroleum development industry. SCHWs can shorten the effective length of horizontal wells and thus have a vital effect on production. It is significant for SCHWs to study their rate decline and flux distribution in naturally fractured reservoirs. In this paper, by employing motion equation, state equation, and mass conservation equation, three-dimension seepage differential equation is established and corresponding analytical solution is obtained by Laplace transform and finite cosine Fourier transform. According to the relationship of constant production and wellbore pressure in Laplace domain, dimensionless rate solution is gotten under constant wellbore pressure in Laplace domain. Dimensionless pressure and pressure derivate curves and rate decline curves are drawn in log-log plot and seven flow regimes are identified by Stehfest numerical inversion. We compared the simplified results of this paper with the results calculated by Saphir for horizontal wells in naturally fractured reservoirs. The results showed excellent agreement. Some parameters, such as outer boundary radius, storativity ratio, cross-flow coefficient, number and length of open segments, can obviously affect the rate integral and rate integral derivative log-log curves of the SCHWs. The proposed model in this paper can help better understand the flow regime characteristics of the SCHWs and provide more accurate rate decline analysis of the SCHWs data to evaluate formation.
- Subjects :
- Article Subject
Laplace transform
Differential equation
General Mathematics
lcsh:Mathematics
Flow (psychology)
General Engineering
Equations of motion
02 engineering and technology
Radius
Mechanics
010502 geochemistry & geophysics
lcsh:QA1-939
01 natural sciences
symbols.namesake
Fourier transform
020401 chemical engineering
lcsh:TA1-2040
symbols
0204 chemical engineering
Constant (mathematics)
lcsh:Engineering (General). Civil engineering (General)
Geology
0105 earth and related environmental sciences
Dimensionless quantity
Subjects
Details
- Language :
- English
- ISSN :
- 15635147
- Volume :
- 2019
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....4ac33c3041356521d262e6340a3c1f73