Semisteady-State Productivity of a Well in a Rectangular Reservoir Producing at Constant Rate or Constant Pressure

Hagoort, Jacques

doi:10.2118/149807-pa

Cited by 21 publications

(9 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For unfractured wells in a closed reservoir, Helmy and Wattenbarger (1998) showed that the stabilized PI is not unique and it depends on the operating conditions; for example, the constant rate PI (PSS flow) is higher than the constant well pressure PI.…”

Section: Comparison Of Different Pismentioning

confidence: 99%

“…On the other hand, it has been shown by Helmy and Wattenbarger (1998) as well as Hagoort (2011) that, for unfractured wells in a closed reservoir, the "stabilized" PI is not unique, and it depends on the operating conditions (i.e., boundary conditions). It is therefore not unreasonable to question the legitimacy of using the result from a steady-state flow or a pseudoradial flow in Eqs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Productivity-Index Optimization for Hydraulically Fractured Vertical Wells in a Circular Reservoir: A Comparative Study With Analytical Solutions

Chen

2016

SPE Journal

View full text Add to dashboard Cite

Productivity-index (PI) optimization by means of optimal fracture design for a vertical well in a circular reservoir is a canonical problem in performance optimization for hydraulically fractured wells. Recent availability of the exact analytical solution for the pseudosteady-state (PSS) flow of a vertically fractured well with finite fracture conductivity in an elliptical drainage area provides an opportunity to re-examine this fundamental problem in a morerigorous manner. This paper first quantitatively estimates the shape-approximation-induced error in the PI when the exact solution for an elliptical drainage area is applied to a circular drainage area. It is shown that the shape-approximation-induced error in the PSS-flow PI is less than 1% for fracture penetration ratios up to 53%, and this error decreases significantly as the fracture conductivity is increased. PI optimization is then performed with the highly accurate analytical solution for this range of the penetration ratios. The results show that the optimal fracture conductivity increases linearly from 1.39 to 1.71 when the proppant number is increased from 0.0001 to 0.6. PI for the steady-state flow and a popular ad hoc PSS-flow PI are compared with the analytical PSS-flow PI. It is found that both the steady-state and the ad hoc PIs deviate significantly from the analytical PSS-flow PI. In particular, the optimal fracture conductivity for the steady-state flow and the ad hoc PIs decreases with the proppant number, opposite to the trend observed for the optimal fracture conductivity for the PSS flow. It is suggested that the ad hoc PI should be abandoned in favor of the more-rigorous analytical PSS-flow solution.

show abstract

Section: Comparison Of Different Pismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Productivity-Index Optimization for Hydraulically Fractured Vertical Wells in a Circular Reservoir: A Comparative Study With Analytical Solutions

Chen

2016

SPE Journal

View full text Add to dashboard Cite

show abstract

“…However, there is a lack of a detailed research on calculating pseudo-steady-state productivity for a horizontal well with multiple reorientation fractures in a tight reservoir, which is exactly the original intention of this study. For productivity analysis and evaluation, many mathematical models have been extensively reported to calculate the productivity index of non-fractured or fractured vertical wells in various reservoirs [5][6][7][8][9][10][11][12][13]. Prats [5] first introduced the concept of "Optimum Fracture Design" (OFD) to obtain the maximum productivity of fractured vertical wells, which laid a solid foundation for optimizing fracture conductivity.…”

Section: Introductionmentioning

confidence: 99%

Productivity analysis for a horizontal well with multiple reorientation fractures in an anisotropic reservoir

Wang

Fan

Zhao

et al. 2020

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

View full text Add to dashboard Cite

Reorientation fractures may be formed in soft and shallow formations during fracturing stimulation and then affect well productivity. The principal focus of this study is on the productivity analysis for a horizontal well with multiple reorientation fractures in an anisotropic reservoir. Combining the nodal analysis technique and fracture-wing method, a semi-analytical model for a horizontal well with multiple finite-conductivity reorientation fractures was established to calculate its dimensionless productivity index and derivative for production evaluation. A classic case in the literature was selected to verify the accuracy of our semi-analytical solution and the verification indicates this new solution is reliable. Results show that for a fixed fracture configuration the dimensionless productivity index of the proposed model first goes up and then remains constant with the increase of fracture conductivity, and optimal fracture conductivity can be determined on derivative curves. Strong permeability anisotropy is a negative factor for well production and the productivity index gradually decreases with the increase of anisotropic factor. As principal fracture angle goes up, horizontal well’s productivity index increases correspondingly. However, the effect of reoriented fracture angle on the productivity index is not as strong as that of principal fracture angle. When reoriented fracture angle is smaller than principal fracture angle, reoriented factor should be as low as possible to achieve optimal productivity index. Meanwhile, well productivity index rises up with the increase of fracture number and fracture spacing, but the horizontal well has optimal reorientation fracture number and fracture spacing to get the economical productivity. Furthermore, the influence of the rotation of one central reorientation fracture on productivity index is weaker than that caused by the rotation of one external reorientation fracture. In addition, the asymmetrical distribution of one or more reorientation fractures slightly affects the productivity index when fracture conductivity is high enough.

show abstract

“…In this flow regime, the relationship of dimensionless wellbore pressure and dimensionless average pressure can be expressed as [20][21][22][23][24]:…”

Section: Introductionmentioning

confidence: 99%

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

Cui

et al. 2018

Processes

View full text Add to dashboard Cite

Abstract:The Pseudo Steady-State (PSS) constant b Dpss 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, b Dpss has been widely used for decline curve analysis with Type Curves. For a well with a finite-conductivity fracture, b Dpss 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 b Dpss 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 b Dpss value. This approximate solution is a fast, accurate, and time-saving calculation.

show abstract

Semisteady-State Productivity of a Well in a Rectangular Reservoir Producing at Constant Rate or Constant Pressure

Cited by 21 publications

References 1 publication

Productivity-Index Optimization for Hydraulically Fractured Vertical Wells in a Circular Reservoir: A Comparative Study With Analytical Solutions

Productivity-Index Optimization for Hydraulically Fractured Vertical Wells in a Circular Reservoir: A Comparative Study With Analytical Solutions

Productivity analysis for a horizontal well with multiple reorientation fractures in an anisotropic reservoir

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

Contact Info

Product

Resources

About