SPE Journal
Volume 10, Number 1, March 2005, pp. 5-12

SPE-77596-PA

An Analytical Model for Cleanup of Yield-Stress Fluids in Hydraulic Fractures

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DOI  More information 10.2118/77596-PA http://dx.doi.org/10.2118/77596-PA

Citation

  • Balhoff, M.T. and Miller, M.J. 2005. An Analytical Model for Cleanup of Yield-Stress Fluids in Hydraulic Fractures.SPE  J.10 (1): 5-12. SPE-77596-PA.

Summary

The retention of fracturing fluid in a proppant pack reduces the dimensionless fracture conductivity, Fcd, resulting in poor well productivity regardless of fluid type (gelled oil, crosslinked polymers, viscoelastic surfactants, or foams). Analytical expressions derived in this paper can be used to calculate the extent of fracture cleanup under a set of production conditions. Several dimensionless parameters describing the fluid, fracture, and reservoir properties are introduced that affect the equilibrium cleanup. A second, transient, fracture-cleanup model is also proposed and is used to estimate the dimensionless-parameter values. 

The equilibrium model predicts that cleanup increases greatly with decreasing dimensionless yield stress of the fracturing fluid. The magnitude of cleanup is also greater for cases in which the permeability ratio of the clean portion of the fracture to the fouled portion is high. The cleanup is expected to increase with an increase in the ratio of reservoir and fracture mobility until an optimum is reached and then decrease with increasing the mobility ratio.  The critical process of parameter estimation is achieved by making experimental measurements and by history matching published fracture flowback data using the transient model. 

Introduction

Injecting viscous proppant laden fluids into a hydrocarbon reservoir creates hydraulic fractures. The fracture is held open by the proppant and provides a low resistance pathway for the production of oil and gas into the wellbore.  Much of the fracturing fluid resides in and around the fracture at the end of the treatment,1–4 and this residue impedes hydrocarbon flow. Fracture cleanup is the process of transporting the residual fluid (most commonly polymer-based) from the fracture back to the earth’s surface. Increasing the removal of the residual fluid from the fracture results in a higher proppant-pack permeability, which increases the hydrocarbon productivity. 

Fracture Impairment and Cleanup

Fracture-face skin refers to reservoir permeability impairment along the fracture surface. This impairment is caused by saturation changes, clay swelling and migration, wettability changes, relative permeability hysteresis, and capillary pressure changes, as well as pore-throat blocking caused by internal polymer filtercake in high-permeability formations.1,5,6 It has been shown that fracture-face skin has little impact on well productivity in low-permeability reservoirs unless the fracture-face permeability is reduced by two to three orders of magnitude.6 Cinco-Ley and Samaniego7 provide a general relationship for estimating the impact of fracture-face skin on well productivity. 

A choked fracture occurs when something impairs the proppant-pack conductivity. Proppant-pack conductivity can become impaired by proppant crushing, immobile fracturing fluids and fracturing fluid residue (such as dehydrated polymer), and formation fines that infiltrate and plug the proppant porosity. Fracture conductivity is reduced by non-Darcy (inertial) effects due to high flow velocities.8,9 It is also reduced by saturation changes and relative permeability hysteresis in the proppant caused by the production of two or three phases simultaneously.10,11

Previous work has illustrated the impact of fracturing-fluid viscosity,2 inertial forces,12 viscous fingering,13 flowback practices,14–16 gel residue,3,17 and breakers4,18,19 on fracture conductivity and fracture cleanup. 

In a departure from previous approaches to the fracture-cleanup problem, this work focuses on the development of an analytical model that enables identification of key parameter groups influencing fracture-fluid cleanup.  The purpose is to clarify the relationship between variables influencing fracture-fluid cleanup even though this model will not simulate the entire fracture-cleanup process as accurately as complex reservoir simulators that account for more of the aforementioned damage mechanisms.

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History

  • Original manuscript received: 19 January 2003
  • Revised manuscript received: 2 November 2004
  • Manuscript approved: 20 January 2005
  • Version of record: 15 March 2005