A History of Greek Mathematics, Volume 1: From Thales to by Thomas Heath

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By Thomas Heath

Quantity 1 of an authoritative two-volume set that covers the necessities of arithmetic and contains each landmark innovation and each vital determine. This quantity good points Euclid, Apollonius, others.

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These forms remain in wide use, though revised forms have been proposed (Shutler, 1969). Relative permeability. Relative permeability is a quantity (fraction) that describes the amount of impairment to flow of one phase on another. In two-phase flow, it is a function of the phase saturation; in three-phase, it may depend on the saturation of another phase. The relative permeabilities to the water, oil, and gas phases are, respectively, denoted by krw , kro , and krg . Mobility. The mobility of a phase is defined as the ratio of the relative permeability and viscosity of that phase.

A major assumption of any extrapolating method is that all processes occurring in the past will continue in the future. The decline curve methods cannot be used for “what-if” scenarios. 3 Statistical Methods Statistical methods employ empirical correlations that are statistically obtained using the past performance of some reservoirs to forecast the future performance of others. They are a generalization of the analogical methods. , solution gas drive or water flood). For the reservoir engineer to be confident in using an empirical correlation model, reservoir properties must be within the limit of the regression database used to develop such a model.

Drainage. A drainage displacement process occurs when the nonwetting phase increases. For example, in a water wet porous medium, drainage will be oil displacing water. The imbibition and drainage capillary pressure and relative permeability functions are distinct because these petrophysical functions depend on the saturation history. Spontaneous imbibition. A spontaneous imbibition process is when a wetting phase invades a porous medium in the absence of any external driving force. The wetting phase invades under the action of surface forces.

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