## What is/are Non Darcy Flow?

Non Darcy Flow - An eddy phenomenon is observed at the intersection, indicating that the seepage behavior transforms into a non-Darcy flow.^{[1]}This study aimed to analyze the evolution of the porosity and permeability of fault rocks under non-Darcy flow-stress coupling.

^{[2]}The fractal geometry, anisotropy, discontinuity, and non-Darcy flow of tight reservoirs exert a significant effect on well production performance.

^{[3]}Also, the classic Darcy’s law equation for flow in porous media may fail in certain flowing conditions, and the non-Darcy flow equations need to be studied and applied for proper modelling of gas flow in porous medium.

^{[4]}Based on the experimental results, the non-darcy flow behavior of the fractured granite is analyzed by using the quadratic function-type Forchheimer formula.

^{[5]}Despite considerable developments of transient pressure analysis or flow rate behaviors for horizontal wells in naturally fractured reservoirs, some significant problems are yet to be resolved, including high heterogeneity of reservoirs, pressure sensitivity of hydraulic fractures, and non-Darcy flow effect, which may occur during the production life.

^{[6]}The use of the Forchheimer number and semi-analytical approaches enables us to describe non-Darcy flow as a simple universal equation valid for any flow geometry.

^{[7]}Experimental measurements were conducted subjected to non-Darcy flow regime.

^{[8]}For the studied sandstones, non-Darcy flow is indicated for the largest pores with diameters above approximately 10 μm, causing an erroneous Klinkenberg correction.

^{[9]}7%, and is directly proportional to Non-Darcy flow coefficient.

^{[10]}Three foam models with different numbers of pores per inch (PPI) are generated, and through simulations, the permeability, the non-Darcy coefficient β, the onset of non-Darcy flow, and Nusselt number (Nud) are determined.

^{[11]}More and more experimental results show that Darcy's law is not fully applicable in low permeability media, and non-Darcy flow has been identified.

^{[12]}The free convective hybrid nanofluid (Fe3O4+MWCNT/H2O) magnetized non-Darcy flow over a porous cylinder is examined by considering the effects constant heat source and uniform ambient magnetic field.

^{[13]}A commercial numerical seepage modeling tool with an option for non-Darcy flow was calibrated against the datasets with good calibration metrics.

^{[14]}Based on the modified enthalpy formulation under non-Darcy flow and Local Thermal Non-Equilibrium (LTNE) conditions, solutions have been obtained utilizing the finite volume method for various relevant parameters.

^{[15]}This study simulates pore-scale two-dimensional flows through porous media composed of circular grains with varied pore-scale heterogeneity to analyze non-Darcy flow effects on different types of porous media using the lattice Boltzmann method.

^{[16]}A stochastic model for the Magneto-Hydrodynamics (MHD) of a non-Darcy flow between two parallel plates has been presented in this paper.

^{[17]}In this paper, the non-Darcy flow equation and the calculation method of capillary number of pressure pulse displacement are established.

^{[18]}Tight sandstone reservoirs are generally characterized by complex reservoir quality, non-Darcy flow, and strong heterogeneity.

^{[19]}Tight permeability, non-Darcy flow mechanisms, adsorption and compressibility make shale gas formations more challenging to model than conventional reservoirs.

^{[20]}The failure to match field data and laboratory-scale evidence of non-Darcy flow has led re.

^{[21]}After hydraulic fracturing, flow mechanisms in multiple scaled pores of shale become extraordinarily complicated: adsorption in nanopores, diffusion in micropores, and non-Darcy flow in macropores.

^{[22]}Based on the non-Darcy flow equation, the Buckly–Leverett equation, and the material balance equation, a mathematical model of arbitrary multilayer commingling production is obtained.

^{[23]}The model takes into consideration the effects of non-Darcy flow.

^{[24]}This new model is able to consider the combined effects of poromechanics, non-Darcy flow, gas sorption and fractal distribution of microstructures on gas apparent permeability.

^{[25]}One-dimensional non-Darcy flow in a porous medium caused by a line source is investigated.

^{[26]}In both methods, the effects of high velocity and non-Darcy flow were considered.

^{[27]}At present, the existing water breakthrough time models in edge-water gas reservoirs are mainly based on the vertical well scheme and ignore the impact of the formation dip angle and non-Darcy flow effect, thus resulting in some differences between the predicted and actual measured data.

^{[28]}Through digital rock technologies, the upscaling of this non-Darcy flow can be studied; however, the requirements for scanning resolution and sample size need to be clarified very carefully.

^{[29]}By characterizing scaling factor ω, the accuracy of the quantitative model could be improved, and basis for further quantification of non-Darcy flow was established.

^{[30]}It is thought that watercourses are developed in broken rock with high porosity and large particle size, which shows a stronger hydraulic conductivity capability; however, the inertial potential energy of a non-Darcy flow is relatively small.

^{[31]}In this paper, the seepage behavior of coal seam gas (CSG) that obeys non-Darcy flow law was directly observed in a conducted laboratory experiments.

^{[32]}With increasing confining pressure, it presented the non-Darcy flow.

^{[33]}The results show that migration of Jurassic tight oil in central Sichuan Basin is a low-velocity non-Darcy flow through low-efficient migration path under the huge migration driving force, and has three migration and seepage stages, i.

^{[34]}In particular, this paper will focus on the transition in non-Darcy flow regimes near fracture-matrix interfaces using mathematical modelling.

^{[35]}Consequently, according to a constructed model, which can cover non-Darcy flow in the unstimulated reservoir area with threshold pressure gradient, Darcy's flow in the stimulated reservoir area and Darcy's flow in the main hydraulic fractures, the two-dimensional numerical simulation of the multi-stage fractured horizontal well in the low-permeable oil reservoir is realized just through the subsurface Darcy's flow module.

^{[36]}The sensitivity analysis indicates that the existing of Non-Darcy flow and gas-phase slippage effect reduces the wellbore temperature.

^{[37]}Important examples are reservoir boundary models, fractured reservoir models, single-fracture models, multiphase reservoir fluid, stress-sensitive reservoirs and non-Darcy flow.

^{[38]}Then, the non-Darcy flow behavior in water- and supercritical CO2 (SCCO2)-based EGSs was simulated and discussed.

^{[39]}Furthermore, the flow in tight reservoirs is the low-velocity non-Darcy flow.

^{[40]}Additionally, the influence of the microchannel cross-sectional shape on the non-Darcy flow of a discontinuous oil phase was clarified.

^{[41]}A pore-network model (PNM) was developed to simulate non-Darcy flow through porous media.

^{[42]}Lateral and spatial permeability are considered in these models as well as non-Darcy flow impact close to the vicinity of the wellbores in gas reservoirs.

^{[43]}In general, tight oil reservoirs has a numerous tiny and complicated throats, and ultra-low permeability, which leads to a low-velocity non-Darcy flow when the fluid flows in tight reservoirs.

^{[44]}The type of media determines the Re range that delimitates between Darcy and non-Darcy flows.

^{[45]}For limestone samples, sound generation is observed at lower flow rates than for sandstone due to earlier transition to a non-Darcy flow regime.

^{[46]}An aquifer near a fault is likely to be affected by non-Darcy flow.

^{[47]}The fluid flow model takes Knudsen diffusion, slippage effect, and non-Darcy flow into account.

^{[48]}Results showed that the radial flow cubic law diverged from experimental results seriously, and non-Darcy flow behaviour was remarkable during tests.

^{[49]}Non-Darcy flow was observed within the range of 0–10 m around the bottom of the cut-off wall.

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