Scale Inhibitor Placement: Back to Basics—Theory and Examples

Mackay, Eric James

doi:10.2118/95090-ms

Cited by 15 publications

(16 citation statements)

References 21 publications

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“…Before presenting calculation on shear-thinning effects, we first summarize the findings from previous work on the placement of Newtonian viscous fluids in linear and radial systems with no crossflow (Sorbie and Mackay 2005). In the results, we will present further comparisons between the analytical model and Eclipse for both linear and radial layered systems to build up the cases which will then be used in the shear-thinning calculations.…”

Section: Summary Of Results For Newtonian Viscous Placementmentioning

confidence: 99%

“…Most results here can be generalized quite easily to multi-layer systems. In our previous paper, we described both analytical and numerical result for viscous SI placement using a Newtonian fluid (Sorbie and Mackay 2005). Here, we generalize these results to where a non-Newtonian (shear-thinning) fluid is used to viscosify the SI slug to "help" in the placement.…”

Section: Background and Introductionmentioning

confidence: 87%

“…The linear heterogeneous case is a fairly straightforward extension of the constant viscosity viscous placement equations presented and discussed previously (Sorbie and Mackay 2005). However, the radial case is a little more subtle, as explained below.…”

Section: Placement Calculations For Non-newtonian Fluidsmentioning

confidence: 93%

“…Before introducing shear-thinning effects, we first review the analytical solution for the liner model. All the equations and the algorithms used in the calculations have been presented previously (Sorbie and Mackay 2005). The calculations were derived for the system shown in Fig.…”

Section: Linear Modelsmentioning

confidence: 99%

“…Suppose that a viscous fluid ( p > w ) is injected into the linear system shown in Fig. 1(a) at a constant volumetric flow rate of Q T, then the cumulative volume injected volume at time t,Q inj (t), is given by: The ratio of flow rate in the layers, (Q 1 /Q 2 ), is given by the equation (Sorbie and Mackay 2005):…”

Section: Linear Modelsmentioning

confidence: 99%

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Placement Using Viscosified Non-Newtonian Scale Inhibitor Slugs: The Effect of Shear Thinning

Mackay¹,

Collins

Wat

2007

SPE Production &Amp; Operations

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Reservoir formations are often very heterogeneous and fluid flow is strongly determined by their permeability structure. Thus, when a scale inhibitor (SI) slug is injected into the formation in a squeeze treatment, fluid placement is an important issue. To design successful squeeze treatments, we wish to control where the fluid package is placed in the near-well reservoir formation. In recent work (Sorbie and Mackay 2005), we went "back to basics" on the issue of viscous SI slug placement. That is, we re-derived the analytical expressions that describe placement in linear and radial layered systems for unit mobility and viscous fluids. Although these equations are quite well known, we applied them in a novel manner to describe SI placement. We also demonstrated the implications of these equations on how we should analyze placement both in the laboratory and by numerical modeling before we apply a SI squeeze. An analysis of viscosified SI applications for linear and radial systems was presented both with and without crossflow between the reservoir layers.In this previous work, we assumed that the fluid being used to viscosify the SI slug was Newtonian (Sorbie and Mackay 2005). However, the question has been raised concerning what the effect would be if a non-Newtonian fluid was used instead. We mainly consider the effect of shear thinning, although our analysis is generally applicable if the non-Newtonian flow rate and effective viscosity function is known. We address the questions: Does the shear thinning behavior result in more placements into the higher or lower permeability layer (in addition to the effect of simple viscosification)? Can the shear thinning effect be used to design improved squeeze treatment? Review and Problem StatementLinear and Radial Models. The linear and radial layered systems considered in this work are shown schematically in Fig. 1. Here we will consider each of these in turn in the absence of crossflow between layers. For each of these cases, differential expressions are derived (which can be integrated numerically) and then used to show the level of diversion that occurs when viscous shearthinning fluid is injected into a layered system without crossflow.

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Section: Summary Of Results For Newtonian Viscous Placementmentioning

confidence: 99%

Section: Background and Introductionmentioning

confidence: 87%

Section: Placement Calculations For Non-newtonian Fluidsmentioning

confidence: 93%

Section: Linear Modelsmentioning

confidence: 99%

Section: Linear Modelsmentioning

confidence: 99%

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