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Wanjing Luo - One of the best experts on this subject based on the ideXlab platform.
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a simple and accurate calculation method for Finite Conductivity Fracture
Journal of Petroleum Science and Engineering, 2018Co-Authors: Wanjing Luo, Xiaodong Wang, Pengcheng Liu, Qing TianAbstract:Abstract A simple, rapid and accurate method was developed to calculate the performance of a well intercepted by Finite-Conductivity Fractures. A Conductivity influence function (CIF) in Laplace domain has been proposed to build bridges between the Finite-Conductivity Fracture and the uniform-flux Fracture. Results show that CIF increases as the dimensionless time before a critical point while it keeps constant after the critical point. A long time approximate solution of CIF in the real domain has been obtained to calculate the shape factor of a Finite-Conductivity Fracture in a bounded rectangular reservoir. Results show that our method can be used for rapid computation of Finite-Conductivity Fractures in different boundary conditions. The method can easily accurately analyze and evaluate the performances of a well intercepted by Finite-Conductivity Fractures.
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A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture
MDPI AG, 2018Co-Authors: Yudong Cui, Wanjing LuoAbstract: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
Cao Wei - One of the best experts on this subject based on the ideXlab platform.
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a hybrid analytic solution for a well with a Finite Conductivity vertical Fracture
Journal of Petroleum Science and Engineering, 2020Co-Authors: Cao Wei, Shiqing Cheng, Fenghuang ZengAbstract:Abstract In the existing well test models of Finite-Conductivity Fracture, the semi-analytical solution has a particularly slow inversion speed, and the analytical model may encounter some computation problems, such as convergence and inaccurate results. To overcome the disadvantages above, we establish an influence function of the Fracture Conductivity (IFFC) in the Laplace space based on both the solution for inFinite-Conductivity vertical Fracture and the solution for trilinear Finite-Conductivity vertical Fracture, then develop an approximate analytic model with simple form, fast calculation speed, and accurate results for a well with a Finite-Conductivity vertical Fracture. The IFFC increases as the dimensionless time increases and decreases as the Fracture Conductivity (FcD) increases, eventually tends to a constant. We can obtain the approximate time when bilinear flow and linear flow appear and end from the curve of the IFFC versus time. Additionally, the approximate model is verified with different solutions given in the literature. Results indicate our model is valid for FcD>1. In particular, the IFFC is also applicable for closed boundary and constant pressure boundary. Finally, the recorded pressure data is interpreted by the model proposed in this paper. Comparison with well test software demonstrates the accuracy of the developed model. The findings of this work can help for better understanding of its potential in the quick interpretation of well test data from the oilfield.
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Practical pressure-transient analysis solutions for a well intercepted by Finite Conductivity vertical Fracture in naturally Fractured reservoirs
Journal of Petroleum Science and Engineering, 2026Co-Authors: Cao Wei, Shiqing Cheng, Yang Wang, Wenyang Shi, Jia ZhangAbstract:Abstract The semi-analytical or numerical solutions are the most used for pressure-transient analysis (PTA) for Finite-Conductivity Fractured wells in naturally Fractured reservoir now. However, the semi-analytical solutions are time-consuming and easily lead to inaccuracy at low Fracture Conductivity with less discretized segments. The numerical solutions are more time-consuming and usually face convergence and stability problems. These solutions are not convenient for practical well test analysis in Oilfield. Our motivation for this paper is to develop simply, quickly and stably analytical PTA solutions for Finite-Conductivity Fractured wells in naturally Fractured reservoir that can serve the well test analysis in Oilfield. We first derive a transformation method which can extend Finite-Conductivity Fracture solutions in homogeneous reservoir to dual-porosity reservoir. Thereafter, analytical solutions for Finite-Conductivity Fractured wells in homogeneous reservoir are presented. Then we provide a series of analytical Finite-Conductivity Fracture solutions in dual-porosity reservoir under different boundary conditions based on the transformation method and homogeneous reservoir solutions. Six solutions given in the published literatures are used to verify the proposed solutions under different dimensionless Fracture Conductivity (FcD). Results indicate that (a) the proposed solutions are valid for FcD>1 with maximum error (5%) and this error will quickly decreases to around 1%; (b) the proposed solutions are applicable for inFinite, closed and constant-pressure boundary conditions; (c) the proposed solutions can be extended to triple-porosity naturally Fractured reservoirs after changing the f(s) function; (d) the proposed solutions are accurate and can greatly shorten the time of well test interpretation comparing to conventional solutions. Finally, the pressure-buildup data from Shunbei Oilfield is interpreted using the proposed solutions to verify its feasibility and practicability. The findings of this work can help for better understanding of its potential in quick well test analysis for field cases.
Jia Zhang - One of the best experts on this subject based on the ideXlab platform.
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Practical pressure-transient analysis solutions for a well intercepted by Finite Conductivity vertical Fracture in naturally Fractured reservoirs
Journal of Petroleum Science and Engineering, 2026Co-Authors: Cao Wei, Shiqing Cheng, Yang Wang, Wenyang Shi, Jia ZhangAbstract:Abstract The semi-analytical or numerical solutions are the most used for pressure-transient analysis (PTA) for Finite-Conductivity Fractured wells in naturally Fractured reservoir now. However, the semi-analytical solutions are time-consuming and easily lead to inaccuracy at low Fracture Conductivity with less discretized segments. The numerical solutions are more time-consuming and usually face convergence and stability problems. These solutions are not convenient for practical well test analysis in Oilfield. Our motivation for this paper is to develop simply, quickly and stably analytical PTA solutions for Finite-Conductivity Fractured wells in naturally Fractured reservoir that can serve the well test analysis in Oilfield. We first derive a transformation method which can extend Finite-Conductivity Fracture solutions in homogeneous reservoir to dual-porosity reservoir. Thereafter, analytical solutions for Finite-Conductivity Fractured wells in homogeneous reservoir are presented. Then we provide a series of analytical Finite-Conductivity Fracture solutions in dual-porosity reservoir under different boundary conditions based on the transformation method and homogeneous reservoir solutions. Six solutions given in the published literatures are used to verify the proposed solutions under different dimensionless Fracture Conductivity (FcD). Results indicate that (a) the proposed solutions are valid for FcD>1 with maximum error (5%) and this error will quickly decreases to around 1%; (b) the proposed solutions are applicable for inFinite, closed and constant-pressure boundary conditions; (c) the proposed solutions can be extended to triple-porosity naturally Fractured reservoirs after changing the f(s) function; (d) the proposed solutions are accurate and can greatly shorten the time of well test interpretation comparing to conventional solutions. Finally, the pressure-buildup data from Shunbei Oilfield is interpreted using the proposed solutions to verify its feasibility and practicability. The findings of this work can help for better understanding of its potential in quick well test analysis for field cases.
Shiqing Cheng - One of the best experts on this subject based on the ideXlab platform.
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a hybrid analytic solution for a well with a Finite Conductivity vertical Fracture
Journal of Petroleum Science and Engineering, 2020Co-Authors: Cao Wei, Shiqing Cheng, Fenghuang ZengAbstract:Abstract In the existing well test models of Finite-Conductivity Fracture, the semi-analytical solution has a particularly slow inversion speed, and the analytical model may encounter some computation problems, such as convergence and inaccurate results. To overcome the disadvantages above, we establish an influence function of the Fracture Conductivity (IFFC) in the Laplace space based on both the solution for inFinite-Conductivity vertical Fracture and the solution for trilinear Finite-Conductivity vertical Fracture, then develop an approximate analytic model with simple form, fast calculation speed, and accurate results for a well with a Finite-Conductivity vertical Fracture. The IFFC increases as the dimensionless time increases and decreases as the Fracture Conductivity (FcD) increases, eventually tends to a constant. We can obtain the approximate time when bilinear flow and linear flow appear and end from the curve of the IFFC versus time. Additionally, the approximate model is verified with different solutions given in the literature. Results indicate our model is valid for FcD>1. In particular, the IFFC is also applicable for closed boundary and constant pressure boundary. Finally, the recorded pressure data is interpreted by the model proposed in this paper. Comparison with well test software demonstrates the accuracy of the developed model. The findings of this work can help for better understanding of its potential in the quick interpretation of well test data from the oilfield.
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Practical pressure-transient analysis solutions for a well intercepted by Finite Conductivity vertical Fracture in naturally Fractured reservoirs
Journal of Petroleum Science and Engineering, 2026Co-Authors: Cao Wei, Shiqing Cheng, Yang Wang, Wenyang Shi, Jia ZhangAbstract:Abstract The semi-analytical or numerical solutions are the most used for pressure-transient analysis (PTA) for Finite-Conductivity Fractured wells in naturally Fractured reservoir now. However, the semi-analytical solutions are time-consuming and easily lead to inaccuracy at low Fracture Conductivity with less discretized segments. The numerical solutions are more time-consuming and usually face convergence and stability problems. These solutions are not convenient for practical well test analysis in Oilfield. Our motivation for this paper is to develop simply, quickly and stably analytical PTA solutions for Finite-Conductivity Fractured wells in naturally Fractured reservoir that can serve the well test analysis in Oilfield. We first derive a transformation method which can extend Finite-Conductivity Fracture solutions in homogeneous reservoir to dual-porosity reservoir. Thereafter, analytical solutions for Finite-Conductivity Fractured wells in homogeneous reservoir are presented. Then we provide a series of analytical Finite-Conductivity Fracture solutions in dual-porosity reservoir under different boundary conditions based on the transformation method and homogeneous reservoir solutions. Six solutions given in the published literatures are used to verify the proposed solutions under different dimensionless Fracture Conductivity (FcD). Results indicate that (a) the proposed solutions are valid for FcD>1 with maximum error (5%) and this error will quickly decreases to around 1%; (b) the proposed solutions are applicable for inFinite, closed and constant-pressure boundary conditions; (c) the proposed solutions can be extended to triple-porosity naturally Fractured reservoirs after changing the f(s) function; (d) the proposed solutions are accurate and can greatly shorten the time of well test interpretation comparing to conventional solutions. Finally, the pressure-buildup data from Shunbei Oilfield is interpreted using the proposed solutions to verify its feasibility and practicability. The findings of this work can help for better understanding of its potential in quick well test analysis for field cases.
Jalal F. Owayed - One of the best experts on this subject based on the ideXlab platform.
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Evaluation of Fracture Asymmetry of Finite-Conductivity Fractured Wells
Journal of Energy Resources Technology, 2010Co-Authors: Djebbar Tiab, Hung Nguyen, Jalal F. OwayedAbstract:Nearly all commercial hydraulic Fracture design models are based on the assumption that a single Fracture is initiated and propagated identically and symmetrically about the wellbore, i.e., the Fracture growth and proppant transport occurs symmetrically with respect to the well. However, asymmetrical Fractures have been observed in hundreds of hydraulic fracturing treatments and reported to be a more realistic outcome of hydraulic fracturing. The asymmetry ratio (length of short Fracture wing divided by length of long wing) inftuenced the production rate adversely. In the worst case, the production rate could be reduced to that of an unFractured well. Several authors observed asymmetrically propagated hydraulic Fractures in which one wing could be ten times longer than the other. Most pressure transient analysis techniques of hydraulically Fractured wells assume the Fracture is symmetric about the well axis for the sake of simplicity in developing mathematical solution. This study extends the work by Rodriguez to evaluate Fracture asymmetry of Finite-Conductivity Fracture wells producing at a constant-rate. The analysis presented by Rodriguez only involves the slopes of the straight lines that characterize the bilinear, linear and radial flow from the conventional Cartesian and semilog plots of pressure drop versus time. This study also uses the Tiab's direct synthesis (TDS) technique to analyze the linear and bilinear flow regimes in order to find the asymmetry factor of the Fractured well. With the Fracture Conductivity estimated from the bilinear flow region, dimensionless Fracture Conductivity and the asymmetry ratio are calculated. A technique for estimating the Fracture asymmetry ratio from a graph is presented. An equation relating the asymmetry ratio and dimensionless Fracture Conductivity is also presented. This equation assumes that the linear and/or bilinear flow regime is observed. However, using the TDS technique, the asymmetry ratio can be estimated even in the absence of bilinear or linear flow period. It is concluded that the relative position of the well in the Fracture, i.e., the asymmetry condition, is an important consideration for the Fracture characterization. A log-log plot of pressure derivative can be used to estimate the Fracture asymmetry in a well intersected with a Finite-Conductivity asymmetric Fracture. The analysis using pressure derivative plot does not necessarily require the radial flow period data to calculate the asymmetric factor.