Similarity solutions porous media

The model proposed above is analogous to a continuous, unsteady state filtration process, and therefore may be called "Filtration Model". In this model, the concentration of the filtrate, viz. the concentration of the solute remained in the treated solid is one s major concern. This is given by the rate of Step 3, which may be expressed by an equation similar to Pick s Law including a transmission coefficient D for the porous medium, viz. the P.S.Z. and the concentration difference Aw across the P.S.Z. as the driving force, and the thickness of the P.S.Z. as the distance Ax. 

Show that a similarity-type solution can be obtained for the case of two-dimensional flow over a flat plate in a porous medium, the plate being aligned with a forced flow... 

In Chapter 3 it was show n that similarity-type solutions could be found for fluid flow over isothermal surfaces whose shape is such that the the velocity distribution outside the boundary is described by u = Axm. Investigate whether this is also true when such bodies are placed in a flow through a porous medium. 

Schramm and Novosad (76) conducted similar studies and found that the stability of the pseudoemulsion film is an important factor in the movement of the crude oil in the porous medium. They also found that the degree of emulsification of the crude oil into the moving foam greatly afreets the oil transport. Both the degree of emulsification and the stability of the pseudoemulsion film decreased with the oil—surfactant solution interfacial tension in their systems (mostly zwitterionic surfactants) that... 

Roof investigated the conditions that must be met in order that the oil emerging from a water-wet constriction seperate (Choke-off, Snap-off or pinch-off) into a droplet in a larger channel. Such flow of water and oil in a water-wet system is similar to the di lacement of an aqueous surfactant solution by air in a water-wet porous medium. If snap-off occurs in the latter case, seperate air bubbles and a network of air-liquid interfaces will be produced. 

The water-oil mobility ratio based on average relative permeability data from similar Minnelusa reservoirs was in excess of 15. The use of polymers to alter this unfavorable mobility ratio to one nearer unity was suggested. Simulated pplymer flood performances using a model similar to that of Bonder, et al. indicated that the conversion of C-H 1 well to polymer Injection could be economic. Polymer entrainment by the porous medium was estimated to be 50 pounds per acre foot in the relatively clean Minnelusa sand. Formation brine had an equivalent sodium chloride concentration near 45, 000 mg/ liter with approximately 1, 500 mg/liter calcium ion present. However, the waterflood injection brine was particularly well suited for polyacrylamide, having less than 1, 000 mg/1 equivalent sodium chloride concentration and less than 12 mg/1 calcium ion in solution. It was anticipated that a fresh water buffer would need to be injected prior to commencing polymer injection. 

The FTIR has been extensively used in studying the compositions of polysiloxanes as well as for monitoring the reaction process as a function of time. Tejedor et al. [3] studied the hydrolysis and condensation of alkoxysilanes with FTIR in acidic medium. The authors conducted the in-situ ATR-FTIR analysis on acidified solution of tetraethylorthosilicate (TEOS) and noticed that the rate of hydrolysis increased with the decrease in pH of the acidic medium. Similarly, the deconvolution of skeletal (SiOSi) FTIR bands in a film produced by reacting TEOS and polytetrahydrofuran suggested the formation of porous network that retains significant proportion of four-fold siloxane ring structures [4]. 

Meaning of this parameter is boundary criterion of concentration changes in a bulk phase (Co=0.1g/l) and in a sp>ace between grains of the porous media Calculated masses of adsorbed asphaltenes and the appreciated pore volumes allow assuming concentration of the asphaltene solution inside p>orous space (Table 6). Langmuire model yields diminished values of adsorbed mass. It may be a sequence of well-known effect of concentration polarization (Bacchin et al., 2002) when in the domain near membranes concentration exceeds medium bulk concentration. On internal structure the membranes are similar to porous media. Average calculated concentrations exceeding bulk are presented in Table 6. 

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