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Possibility of determining colmatage parameters and functions basing on the theory of colmatage and |
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Possibility of determining colmatage parameters and functions basing on the theory of colmatage and experiment Authors: A. Trzaska, K. Broda
In this paper we assume that the flow of suspension is accompanied by the exchange of solid particles from a liquid medium into a solid one. We take it as true that both the porous medium and the suspension are characterised by the homogeneity of colmatage properties. We also assume that the flow proceeds along the generating lines parallel to the [chi] axis. The phenomenon under discussion will be described with a suitable system of partial differential equations which consists of the balance-transport equation (1), that of the process kinetics (2) and the equation of motion (6) with boundary conditions (3). Solution of this system results in determining the distribution function of colmatage mass arrested P ([chi], t), that of porosity [epsilon] ([chi], t), that of pressure h ([chi], t) and the function of unitary flow discharge q (t). Basing on the theory, on computation procedures suitably chosen and on an experiment determining the distribution of pressure h ([chi], t) and the discharge of flow q (t) we find out all colmatage parameters. Their knowledge using theoretical description helps to determine every funtion above mentioned and, additionally, a function describing the changeability of medium permeability k([chi],t) when the exchange of mass from a liquid medium into a solid one proceeds during the flows, i.e. when the flows take place with colmatage in the whole space and time of the phenomenon duration. This is obtained using formula (16) for flows without colmatage, or (17) if the flow with colmatage occurs at constant difference of pressures at points [chi] = 0 and [chi] = L.
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2011