... in terms of extracting residual value in an environmentally friendly way. There is a great potential to extract energy in the form of low-temperature waste heat and/or work with the right power fluids, including CO 2 . In this study, a numerical solution and several analytical solutions are presented...

... and optimization. For this purpose, a variety of RTA models have been derived using analytical or semi-analytical solutions to the classical diffusion equations adopted to different flow regimes; however, these solutions require many simplifications to reservoir/well boundary conditions, fluid/rock properties...

... insights in the traditionally poorly understood near wellbore region in unconventional reservoirs. We present a simple analytical solution to represent the warm-back behavior during soaking as a function of the initial temperature (cooler), final temperature (warmer) and a time-delay parameter. We use...

..., and to estimate the ESP run life. analytical equation concentration Upstream Oil & Gas Finnie artificial lift system liquid phase pump stage solid particle Simulation impeller erosion rate tangential direction submersible pump tangential velocity analytical solution sand production CFD...

... Artificial Intelligence Injection point criterion reservoir geomechanics Upstream Oil & Gas formation interface net pressure discontinuity Reservoir Characterization hydraulic fracturing aperture experiment analytical solution interface fracture propagation stress contrast...

... temperature monitoring e.g. via fiber optic distributed temperature sensing (DTS) to obtain the injection profiles. Development of modelling tools is required to enable analyzing temperature data for injection profiling. In this work, an analytical solution is developed to determine the transient...

... by the number of frac hits, the leakage rate is governed by the bottomhole pressure (BHP) differential between wells. The analytical solution to the fluid-flow model is derived in Laplace domain and is inverted numerically. We found that BHPs are coupled via the degree of interference coefficient δ w , defined...

.... To achieve this, pseudo-pressure, pseudo-time and pseudo-distance are introduced to reduce the temporal and spatial non-linear diffusivity equation to that with constant coefficients. Both a Laplace-domain solution and approximate analytical solution to the diffusivity equation are verified against a series...

..., it is verified with available analytical solutions for slightly compressible flow. Introduction Anomalous-diffusion models have been proposed recently as a means of representing pore-scale petrophysical heterogeneity of unconventional reservoirs in terms of a heterogeneous velocity field (e.g., Raghavan...

... Reservoir Characterization Fluid Dynamics reservoir simulation Upstream Oil & Gas information porosity parameter estimate perpendicular correlation laboratory analytical solution agreement flow in porous media Weatherford laboratory URTeC bedding permeability fracture flow...

... gel injections and slick water. Extensive bench testing has been conducted to validate the fundamental theory and numerical techniques using known analytical solutions, as well as testing with both toughness and viscosity controlled hydraulic fracture. The effectiveness of the modeling software...

... the code to address problems up to reservoir scale on large-scale computer clusters. The code is shown here to reproduce analytical solutions for radial and lateral fracture propagation. An example is also given to demonstrate the interplay between the propagation of multiple hydraulically driven radial...

... models to complex situations. Numerical models and analytical solutions confirm the presence of both unstable and stable regions around the pressurized fractures. Fault stability during hydraulic operation dependents on the position of faults with respect to the hydraulic fractures. The critical angle...