The effective hydraulic behaviour of heterogeneous sand was experimentally investigated at two scales under transient flow upper boundary conditions.
The IPR equations for horizontal gas wells are categorized into three boundary conditions; constant boundary pressure (steady-state flow condition), no-flow boundary (pseudo-steady-state flow condition), infinite acting reservoir (transient flow condition).
In the waste sample, four tracer tests were performed under either constant water head or sprinkling input boundary conditions, and either steady state or transient flow.
After the description of the well geometry, boundary conditions, hydrodynamic, and numerical parameters, the results of transient pressure and transient flow rate for managed pressure drilling will be discussed and validated with actual well data taken from a standard of American Petroleum Institute (API RP-13D 2003).
A mathematical model for the transient flow in pipelines has been established and solved under different boundary conditions.
Many previous solutions for transient flow in finite single-porosity aquifers with no-flow outer boundary condition are shown to be special cases of the present solution.
As shown in Fig. 3, the 1/2 slope straight line (blue line) represents linear transient flow regime and the unit slope line (yellow line) characterizes the boundary dominated flow.
According to equation (17), the series solution in fact is an approximation for semiinfinite boundary with different initial values, which means that the process of water infiltration varying from transient flow to steady one in Figure 1 can be simulated by the solution of semiinfinite problem with a variable initial value.
This is followed by an overview of the transient flow modeling of water and solute flow in heterogeneous soil root systems under a variety of boundary conditions with a focus on the linkage between water use by the crop, and daily crop growth and crop yield, i.e. the so-called 'water productivity' relationship.
The application of the Arps model (i.e., the exponential and hyperbolic decline relations) is restricted to boundary-dominated flow regimes and may lead to significant overestimation of reserves if it is applied to transient flow (Ilk et al. 2010).
