Towards a Unified Soil Mechanics Theory: The Use of Effective Stresses in Unsaturated Soils

Indexed in: EBSCO, Book Citation Index, Science Edition.

With the application of the effective stress concept, the strength and volumetric behavior of saturated materials was clearly understood. For the case of unsaturated materials, a universally accepted ...
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The Probabilistic Porous-Solid Model

Pp. 54-81 (28)

DOI: 10.2174/9781608057399113010008

Author(s): Eduardo Rojas


In the previous chapter, a computational network porous model was developed to simulate the hydraulic behavior of unsaturated soils. However, important computational constraints make this model unpractical. In this chapter a probabilistic porous-solid model is developed to overcome these constraints. The probabilistic model is an alternative to the use of computational network models and shows important advantages. This model was built by analyzing the probability of a certain pore to be filled or remain filled with water during a wetting or drying process, respectively. The numerical results of the probabilistic model are compared with those of the computational network model showing only slight differences. Then the model is validated by doing some numerical and experimental comparisons. Finally a parametric analysis is presented.


Probabilistic model, network models, basic unit, hydro-mechanical coupling, solids, cavities, bonds, saturated fraction, unsaturated fraction, dry fraction, degree of saturation of the unsaturated fraction, retention curves, Bishop’s parameter, relative volume, porosimetry tests, macropores, mesopores, micropores.