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Oil-in-place is also known as stock tank original oil-in-place (STOOIP) or stock tank oil-initially-in-place (STOIIP), referring to the oil in place before the commencement of production. In this case, stock tank barrels refers to the volume of oil after production, at surface pressure and temperature (as opposed to reservoir conditions).
The materials balance method for an oil or gas field uses an equation that relates the volume of oil, water and gas that has been produced from a reservoir and the change in reservoir pressure to calculate the remaining oil & gas. It assumes that, as fluids from the reservoir are produced, there will be a change in the reservoir pressure that ...
Accidental release source terms are the mathematical equations that quantify the flow rate at which accidental releases of liquid or gaseous pollutants into the ambient environment which can occur at industrial facilities such as petroleum refineries, petrochemical plants, natural gas processing plants, oil and gas transportation pipelines, chemical plants, and many other industrial activities.
The Kolmogorov forward equation in the notation is just =, where is the probability density function, and is the adjoint of the infinitesimal generator of the underlying stochastic process. The Klein–Kramers equation is a special case of that.
The second row is the same generator with a seed of 3, which produces a cycle of length 2. Using a = 4 and c = 1 (bottom row) gives a cycle length of 9 with any seed in [0, 8]. A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation.
The map may be produced by driving the compressor with an electric motor with the flow resistance selected artificially using a variable area throttle valve. The compressor may also be mapped if it is part of a gas generator with a valve at the turbine exit. Campbell [10] shows a General Electric J79 compressor mapped in this way.
This Wiener process (Brownian motion) in three-dimensional space (one sample path shown) is an example of an Itô diffusion.. A (time-homogeneous) Itô diffusion in n-dimensional Euclidean space is a process X : [0, +∞) × Ω → R n defined on a probability space (Ω, Σ, P) and satisfying a stochastic differential equation of the form
In an electrical grid, the short circuit ratio (or SCR) is the ratio of: the short circuit apparent power (SCMVA) in the case of a line-line-line-ground (3LG) fault at the location in the grid where some generator is connected, to: the power rating of the generator itself (GMW).