By A N Konovalov
Lately, interacting particle structures were studied generally from the standpoints of arithmetic, physics, chemistry and biology. This publication examines the section transitions of interacting particle structures, in particular their severe values and order parameters, and poses the next query: how can researchers receive strong bounds at the severe values and the order parameters?
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Additional info for Problems of Multiphase Fluid Filtration
Here 7 becomes the line of discontinuity of the initial and extended coefficients. In view of this, the coordination conditions are set on 7, which are typical for problems with discontinuous coefficients. In principle, these conditions should merely provide a correct formulation of a new problem with extended coefficients. Meanwhile, in each separate problem these conditions can be chosen following from concrete phys ical considerations. For example, in filtration problems these can be the conditions on the equality of the saturation, the pressure and the flow rate when crossing 7.
We obtain 2 2 ,. M2 -N-N , „ ,. N „ ds ds div — grad R it --- div = --2m d l v- - qq =» div — ^ — grad 2 mm-- . M According to the rules of a vector analysis, div dlV N N N l V qq + gIrgrad q M Mqq == ~~MMddiv H a d MM' ,qj. J' but div q == 0. , therefore 1 ,,. , _„ + ,. ^qq gg r , N 99 = ds ds —TO -r-. m ' ~~ at' dt With Pjt tends to zero, we get Pi)g div jf^y (pi - P2) fe (PI- fe grad ) ++ m grad ifif ++ (q, (q, grad grad ptp) m — — -= 0. 0. 2) For simplicity, gravitational forces are omitted here.
Two-Phase Filtration Models 33 Buckley-Leverett model is concerned, it is clear that the example presented above could not be constructed if (p(s) and
Problems of Multiphase Fluid Filtration by A N Konovalov