In this paper, we establish the well-posedness for third grade fluid equation perturbed by a multiplicative white noise. This describes motion of non-Newtonian differential type with relevant viscoelastic properties. We are faced strongly nonlinear stochastic partial supplemented Navier slip boundary condition. Taking initial condition in Sobolev space H2, show existence and uniqueness strong (...

The United Downs Deep Geothermal Project (UDDGP) is designed to utilize a presumably permeable steep dipping fault damage zone (constituting the hydrothermal reservoir in very low permeability granitic host rock) for fluid circulation and heat extraction between an injection well at 2.2 km depth (UD?2) production 5 (UD?1). Soft hydraulic stimulation was performed increase of reservoir. Numerica...

Abstract The flow of reactive fluids into porous media, a phenomenon known as infiltration, is important in natural and engineered systems. While most the studies this area cover theoretical experimental analyses linear acid flow, present work concentrates on radial conditions from wellbore field finding exact analytical solutions to moving boundary problems uniform dissolution front. Closed-fo...

Model-based interpretation of the complex clinical data now available (shape, motion, flow) can provide quantitative information for diagnosis as well as predictions. However such models can be extremely time consuming, which does not always fit with the clinical time constraints. The aim of this work is to propose a model reduction technique to perform faster patient-specific simulations with ...

Optimum acid selection based on reservoir condition is one of the key elements in achieving a successful treatment carbonate matrix acidizing. High reaction and corrosion rate regular hydrochloric especially tight reservoirs with high temperatures considered as limitation this acid. One alternative high-temperature to use in-situ generated hydrochloric. The objective study simulate acidizing us...