Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs
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 we...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2019/7281090 |
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doaj-a89ef8f7d3e94a51976dbc147efa7c942020-11-25T00:40:29ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/72810907281090Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil ReservoirsQi-guo Liu0You-jie Xu1Long-xin Li2An-zhao Ji3State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaResearch Institute of Exploration Development, PetroChina Southwest Oil & Gasfield Company, Chengdu 610041, ChinaSchool of Energy Engineer, Longdong University, Qingyang 745000, ChinaSelectively 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.http://dx.doi.org/10.1155/2019/7281090 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qi-guo Liu You-jie Xu Long-xin Li An-zhao Ji |
spellingShingle |
Qi-guo Liu You-jie Xu Long-xin Li An-zhao Ji Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs Mathematical Problems in Engineering |
author_facet |
Qi-guo Liu You-jie Xu Long-xin Li An-zhao Ji |
author_sort |
Qi-guo Liu |
title |
Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs |
title_short |
Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs |
title_full |
Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs |
title_fullStr |
Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs |
title_full_unstemmed |
Rate Decline Behavior of Selectively Completed Horizontal Wells in Naturally Fractured Oil Reservoirs |
title_sort |
rate decline behavior of selectively completed horizontal wells in naturally fractured oil reservoirs |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2019-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2019/7281090 |
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