PGE 310 - Term Project-Solution

PGE 310 - Term Project-Solution - The University of Texas...

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1 The University of Texas at Austin PGE 310: Formulation and Solution in Geosystems Engineering Term Project – Fall 2010 SOLUTION Partially hydrolyzed polyacrylamide (HPAM) is a polymer that is often used in the oil industry for enhanced oil recovery (EOR). Unlike most Newtonian fluids (e.g. water, most light oils), HPAM is non-Newtonian and the viscosity of the fluid decreases with applied shear rate. HPAM will be pumped through a horizontal wellbore so that it can be injected into the reservoir. Your job is to create a plot of flowrate versus pressure drop in the well, so we know the pressure loss in the well for a given flowrate. A lab engineer has taken measurements of viscosity as a function of shear rate for you and they are provided in the attachment. 1. Some polymer fluids have a viscosity ( ) that depends on shear rate ( ) a power-law relationship, at least in a given range of shear rates. 1 n m Where the constants m (units = Pa-s n ) and n (unitless) are the constants that best-fit the viscosity data. For power-law fluids you can derive an equation for flowrate (Q) as a function of pressure drop ( P ). If you have taken Transport already, you may have done this for a Newtonian fluid. For a power law fluid, the expression is: n n n P mL n R n Q 1 1 1 3 ) 2 )( 1 3 (
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