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Article

A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture

1
School of Energy Resources, China University of Geosciences, Beijing 100083, China
2
Beijing Key Laboratory of Unconventional Natural Gas Geological Evaluation and Development Engineering, China University of Geosciences, Beijing 100083, China
*
Author to whom correspondence should be addressed.
Processes 2018, 6(7), 93; https://doi.org/10.3390/pr6070093
Received: 19 June 2018 / Revised: 9 July 2018 / Accepted: 9 July 2018 / Published: 19 July 2018
(This article belongs to the Special Issue Fluid Flow in Fractured Porous Media)
The Pseudo Steady-State (PSS) constant bDpss is defined as the difference between the dimensionless wellbore pressure and dimensionless average pressure of a reservoir with a PSS flow regime. As an important parameter, bDpss has been widely used for decline curve analysis with Type Curves. For a well with a finite-conductivity fracture, bDpss is independent of time and is a function of the penetration ratio of facture and fracture conductivity. In this study, we develop a new semi-analytical solution for bDpss calculations using the PSS function of a circular reservoir. Based on the semi-analytical solution, a new conductivity-influence function (CIF) representing the additional pressure drop caused by the effect of fracture conductivity is presented. A normalized conductivity-influence function (NCIF) is also developed to calculate the CIF. Finally, a new approximate solution is proposed to obtain the bDpss value. This approximate solution is a fast, accurate, and time-saving calculation. View Full-Text
Keywords: Pseudo Steady-State (PPS) constant; finite-conductivity fracture; conductivity-influence function; normalized conductivity-influence function; circular closed reservoir Pseudo Steady-State (PPS) constant; finite-conductivity fracture; conductivity-influence function; normalized conductivity-influence function; circular closed reservoir
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MDPI and ACS Style

Cui, Y.; Lu, B.; Wu, M.; Luo, W. A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture. Processes 2018, 6, 93. https://doi.org/10.3390/pr6070093

AMA Style

Cui Y, Lu B, Wu M, Luo W. A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture. Processes. 2018; 6(7):93. https://doi.org/10.3390/pr6070093

Chicago/Turabian Style

Cui, Yudong, Bin Lu, Mingtao Wu, and Wanjing Luo. 2018. "A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture" Processes 6, no. 7: 93. https://doi.org/10.3390/pr6070093

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