Navier Sample Clauses

Navier. Xxxxxx equation modelling Navier–Xxxxxx equations were used for gas transport in locally connected pores with different sizes. These equations describe the motion of viscous fluid substances based on a flow velocity (Puncreobutr et al., 2014). Based on detailed study of the pore system, an image-based permeability simulation was developed in organic related pores and clay mineral related pores by solving the Navier–Xxxxxx equations in combination with Xxxxx’x Law, which has been proved to be effective in shale reservoirs (Xxxxxxxxx et al., 2007; Xxxx et al., 2015; Xxxxx et al., 2012). This simulation was performed in Avizo™ (XLab Hydro extension, FEI, Hillsboro, United States), based on a segmented pore network (Archilha et al., 2016; Puncreobutr et al., 2014). To simplify the equation, gas flow is considered to behave as a fluid with the following features: 1) incompressibility (constant density); 2) is a Newtonian fluid (constant dynamic viscosity); 3) a steady-state flow (constant velocity); and 4) a laminar flow (velocities too small to produce turbulence). It follows that the Navier-Xxxxxx equation can be written as: