Geodesic
Incomplete coupling principle in the poroelastic models
Matematičeskoe modelirovanie, Tome 18 (2006) no. 2, pp. 24-42

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A quality investigation of the heterogeneous isothermal boundary poroelastic problems is presented to realize an incomplete coupling principle. This principle is defined as detachment of the percolation and elastic groups of equations in the general poroelastic equations. An incomplete coupling of these equations means their scanty mutual dependence by means boundary conditions or some variables. This principle gives a possibility to reduce a solution of coupling boundary problems to the solution series of uncoupling boundaries problems. Heterogeneity means that material constants depend on space coordinates. The analytical solutions are shown as an illustration. 
@article{MM_2006_18_2_a1,
     author = {A. V. Karakin},
     title = {Incomplete coupling principle in the poroelastic models},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {24--42},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_2_a1/}
}
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A. V. Karakin. Incomplete coupling principle in the poroelastic models. Matematičeskoe modelirovanie, Tome 18 (2006) no. 2, pp. 24-42. http://geodesic.mathdoc.fr/item/MM_2006_18_2_a1/