Oil production along the Gulf Coast and elsewhere from formations that are essentially unconsolidated sand often requires some means of "sand control." That is, oil production must be free of sand, not merely to minimize solids handling problems, but to insure long and productive well performance. Gravel packing is often the preferred means of sand control. With this method, gravel, properly sized to prevent the production of formation sand, is injected into the well bore where it builds a filter between the formation sand and in most cases a central metal screen. The gravel is usually pumped into the well as a concentrated slurry using a viscous aqueous polymer solution. For example, Natrosol2SOHHR (Hercules, Inc.) a hydroxyethyl cellulose (HEC) polymer, is used by Shell Oil in its "AQUAPAC" (Lybarger et al., 1974). The success of the gravel pack depends on the "down-hole" properties of the polymer and suspension.In part to provide background for a study of the settling behavior of slurries, measurements were made of the settling velocity of single particles in the viscous non-Newtonian polymer solutions of Natrosol250HHR. However, particle settling data also allows calculation of apparent viscosities at low shear rates. And, because of the wide variation in settling velocity with polymer concentration, provides a convenient on-site test of polymer quality during the placement operation. That is, the effects of viscosity reducers and the particular time-temperature history for a given polymer solution may be readily estimated. Since particle suspensions in viscous polymer solutions are also used for fracturing and in other in situ energy applications, there are a range of uses for the kinds of results summarized here. Figure 1 shows the influence of shear rate, +, on apparent viscosity qa, for concentrations of 0.25%w, 0.50%w, 0 . 7 5 %~ and 1 . 0 %~ of Natrosol 250HHR. Note in particular the wide range of apparent viscosities (shear stress divided by shear rate) for the more concentrated solutions. At high shear rates, the data fall on straight lines and the solutions follow the "power-law" model. As shear rates decrease the curves level out to an asymptote, the "zereshear" viscosity, which in the case of a 0 . 7 5 %~ solution is about 3.5 Pa-s, while for O.SO%w, it is about 0.45 P a s Note that the zero-shear viscosity asymptote moves to higher shear rates as polymer concentration decreases. For example, while the asymptote hasn't been achieved even at shear rates, +, as low as 0.1 s-l for l % w solutions, apparent viscosity is nearly constant for 0 . 2 5 %~ solutions between + = 1 to 10 s-l.
EXPERIMENTAL RESULTSA typical AQUAPAC fluid at 80 Ib (36 kg) HEC/1,000 gal (3.8 m3) is somewhat more viscous than that of 0 . 7 5 %~. At formation temperature it could have an apparent viscosity similar to that of a 0 . 5 %~ solution at room temperature. Values at the higher shear rates were measured with Fann and Brookfield viscometers. At the lowest shear rates, apparent viscosities were calculated from Stokes' Law sett...