Nonlinear consolidation model for the prediction of constant pressure expression of semi-solid materials

Nonlinear model of constant pressure expression is proposed for semi-solid materials and filter cakes. In this the compressive PS replaced by special power-law function θ=1+PSPa1-nconsidering constitutive equation specific cake resistance α=α01+PSPan, where α0, Pa n are constants. The linearized form obtained has analytical solution, which similar to solution classical Terzaghi equation, but in terms functionθ. Consequently, profiles local characteristics compressed can be better described. Constitutive relations compressibility modulus G consolidation coefficient C presented as functions used approximative numerous solutions nonlinear equation. Consolidation (filtration diffusivity) highly compressible cakes vary little with increase or even remain due concurrency between α, both rise higher PS. Several examples application different moderately (H.K. kaolin, CaCO3, silica, activated sludge, water treatment (WT) plant residue). (specific resistanceα solidosity εS) simulated compared based on numerical model. values apparent Ca adjustment These prediction solid–liquid behavior.