THE STABILIZED INFLOW EQUATIONS
The solution of the diffusivity equation under semi-steady state flow conditions has been described in detail in section 6.2 since the mathematical approach is quite general and can be applied…
STEADY STATE SOLUTION
The steady state solution of the diffusitivy equation can be derived using precisely the same mathematical steps as for the semi-steady state solution only, in this case, since ∂p/∂t =…
SEMI-STEADY STATE SOLUTION
The radial diffusivity equation, (5.20), will be solved under semi-steady state flow conditions for the geometry and radial pressure distribution shown in fig. At the time when the solution is…
CONDITIONS OF SOLUTION
In principle, an infinite number of solutions of equ. (5.1 ) can be obtained depending on the initial and boundary conditions imposed. The most common and useful of these is…
DERIVATION OF THE BASIC RADIAL DIFFERENTIAL EQUATION
The basic differential equation will be derived in radial form thus simulating the flow of fluids in the vicinity of a well. Analytical solutions of the equation can then be…
THE MECHANICS OF SUPPLEMENTARY RECOVERY
Supplementary recovery results from increasing the natural energy of the reservoir, usually by displacing the hydrocarbons towards the producing wells with some injected fluid. By far the most common fluid…
TWO-PHASE FLOW: EFFECTIVE AND RELATIVE PERMEABILITIES
In describing Darcy's law, it has so far been assumed that the permeability is a rock property which is a constant, irrespective of the nature of the fluid flowing through…
FLUID POTENTIAL
Every branch of science and engineering has its own particular heroes, one only has to think, for example, of the hallowed names of Newton and Einstein in physics or Darwin…
COMPACTION DRIVE AND RELATED PORE COMPRESSIBILITY PHENOMENA
The withdrawal of liquid or gas from a reservoir results in a reduction in the fluid pressure and consequently an increase in the effective or grain pressure, the latter being…
NATURAL WATER DRIVE
Natural water drive, as distinct from water injection, has already been qualitatively described, in Chapter 1, sec. 7, in connection with the gas material balance equation. The same principles apply…
