A mathematical model and semi-analytical solution for transient pressure of vertical fracture with varying conductivity in three crossflow rectangular layers

Liu, Jie; Liu, Pengcheng; Li, Shunming; Xiao-dong, Wang

doi:10.1177/0144598718784034

Cited by 4 publications

(3 citation statements)

References 60 publications

(86 reference statements)

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“…Many studies have been carried out that the porosity and permeability near the well can be increased by fractures [26]. The generation of hydraulic fracturing fractures creates favorable conditions for the development of low permeability reservoirs [27][28][29][30]. Scholars have a variety of seepage interpretations of single fracture [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution and Simulation of Oil Deliverability Analysis for Reorientation Hydraulic Fracture in Low-Permeability Reservoirs

et al. 2021

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The hydraulic refracturing operations are often used to improve oil deliverability in the low-permeability reservoir. When the development of oilfields has entered a high water cut stage, oil deliverability can be promoted by refracturing reservoirs. The orientation of the new fracture formed by refracturing will be changed. The new formed fracture is called reorientation fracture. To calculate the oil deliverability of the refracture wells, a three-section fracture which includes reorientation fracture was established. The multiwell pressure drop superposition theory is used to derive the analytical solution of the refracture wells which includes the reorientation fracture. The numerical simulation was conducted to validate the results of the analytical solution. Comparing the refracture well deliverability of reorientation and nonreorientation, permeability, deflection angle, and the length of reorientation fracture will jointly control the productivity of refracture well. When the permeability in the direction of maximum principal stress is greater than the permeability in the direction of minimum principal stress, the capacity of reorientation fractures is relatively large. The deflection angles and the length of the reorientation fracture will directly affect the drainage area of the fracture, thus affecting productivity. The reorientation fractures generated by repeated fracturing have great potential for improving oil deliverability in the anisotropic low-permeability reservoirs.

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Section: Introductionmentioning

confidence: 99%

Analytical Solution and Simulation of Oil Deliverability Analysis for Reorientation Hydraulic Fracture in Low-Permeability Reservoirs

et al. 2021

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“…A symmetrical single vertical fracture in double porosity reservoirs was studied by Cinco-Ley and Meng (1988). Liu et al. (2019) derived a mathematical model of a vertical fracture with varying conductivity.…”

Section: Introductionmentioning

confidence: 99%

“…A symmetrical single vertical fracture in double porosity reservoirs was studied by Cinco-Ley and Meng (1988). Liu et al (2019) derived a mathematical model of a vertical fracture with varying conductivity. For multiple fractures connected to a well for acidizing or acid fracturing processes, the composite model with two zones is a popular way (Olarewaju and Lee, 1989;Bensalem and Tiab, 2007).…”

Section: Introductionmentioning

confidence: 99%

Pressure transient analysis of a vertical well with multiple etched fractures in carbonate reservoirs

Luo

Fan

et al. 2019

Energy Exploration & Exploitation

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Acid fracturing has been widely used as an industry practice in explored and developed carbonate reservoirs. It is very important to understand responses of reservoirs and improve production performance of a well due to the presence of fracture networks by stimulation treatments. Pressure transient analysis is one of the most effective diagnostic techniques available to enhance our understanding of natural and artificial-etched fracture behavior. This work presented a novel mathematical model for unsteady state flow of naturally fractured porous medium into multiple etched fractures intersecting a vertical well, and three different geometric shapes of matrix blocks containing slabs, cylinders and spheres were considered. The new solution was derived by using the Laplace transformation and the point source function integral approach. The polar coordinate transformation was used to deal with the radial distribution of arbitrary fracture number and angle. Then the model was validated by comparison with three published cases. Finally, type curves were plotted to identify flow regimes: linear flow, transitional flow, pseudoradial flow, and boundary dominant flow if the closed or constant pressure boundary exists. Furthermore, sensitivity analysis was investigated. The results showed that the acid-etched fracture parameters containing fracture number, fracture distribution and conductivity had a significant impact on pressure behavior at early times. However, natural fracture storativity coefficient and interporosity flow parameter mainly affected the transitional flow at intermediate times. Moreover, the shape of matrix blocks had a little influence on transient responses at intermediate times. It is found that multiple etched fractures existing near the wellbore consume less pressure drop and increase the productivity of a well as a whole.

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A generalized analytical model for hydrocarbon production using multi-fractured horizontal well with non-uniform permeability distributions

Zhang

2021

International Journal of Hydrogen Energy

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A mathematical model and semi-analytical solution for transient pressure of vertical fracture with varying conductivity in three crossflow rectangular layers

Cited by 4 publications

References 60 publications

Analytical Solution and Simulation of Oil Deliverability Analysis for Reorientation Hydraulic Fracture in Low-Permeability Reservoirs

Analytical Solution and Simulation of Oil Deliverability Analysis for Reorientation Hydraulic Fracture in Low-Permeability Reservoirs

Pressure transient analysis of a vertical well with multiple etched fractures in carbonate reservoirs

A generalized analytical model for hydrocarbon production using multi-fractured horizontal well with non-uniform permeability distributions

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