Development of mathematical and information Sample Clauses

Development of mathematical and information technological approaches As a basis for the aspired simulations an extension of roxol by means of fluid flow was necessary. This was initiated by geomecon by an extensive literature research on fluid flow in fractured media and its implementation in XFEM. In addition, distinct analysis of the necessary extension of the XFEM representation of the fracture tip was performed due to its critical influence on fracture propagation. To characterise a linear elastic fracture in roxol there are additional functions added at the fracture nodes in the XFEM mesh. Those needed to be defined and implemented now also for Xxxxx flow. At the fracture faces, we found ln(r*sin(θ)) to be a good solution for the pore pressure distribution around the fracture and in front of the fracture tip, ln(r) (Figure 1). The derivatives of those asymptotic field functions are used in the computation of the fluid flow.
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