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These series of projects include a variety of subjects such as investigating solute transport, understanding the effects of the single pore processes, and understanding pore-scale processes in geomaterials. In some cases, advanced computational models based on stochastic fundamentals and mathematical flow models are developed to simulate mixing processes.
This subject is a profound matter in many research items to clarify the obscure points caused by the inherent characteristics of engineering problems. Mathematical models are used to investigate a wide variety of hydrogeological conditions such as managing groundwater resources assessment, prediction, and remediation for contamination.
Utilising configurational mechanics, we are trying to determinate the initiation and direction of propagating cracks and to remove the restriction for predicting crack path in the finite element method. Throughout our research, computational strategies on the basis of stochastic finite element theory have been developed that allows to incorporate the effects of heterogeneity of rocks on the fracture evolution.
In some of our research works, stochastic numerical modelling is hired to develop and simulate fracturing in natural heterogeneous materials. Also, in some cases, we develop practical numerical models for risk assessment and probability failure analysis mostly of earth structures.