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Porosity or void fraction is a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume, between 0 and 1, or as a percentage between 0% and 100%.
Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization problems. [1] It is related to, but distinct from, quasi-Newton methods .
A covering LP is a linear program of the form: Minimize: b T y, subject to: A T y ≥ c, y ≥ 0, such that the matrix A and the vectors b and c are non-negative. The dual of a covering LP is a packing LP, a linear program of the form: Maximize: c T x, subject to: Ax ≤ b, x ≥ 0, such that the matrix A and the vectors b and c are non-negative.
"Clay layers" are dry clay (V cl) which also form part of the grain volume.If a core sample is dried in a normal dry oven (non-humidified atmosphere) the clay layers and quartz together form the grain volume, with all other components constituting core analysis “total porosity” (notwithstanding comments in [2]).
Mathematically, linear least squares is the problem of approximately solving an overdetermined system of linear equations A x = b, where b is not an element of the column space of the matrix A. The approximate solution is realized as an exact solution to A x = b', where b' is the projection of b onto the column space of A. The best ...
The master program incorporates one or all of the new columns generated by the solutions to the subproblems based on those columns' respective ability to improve the original problem's objective. Master program performs x iterations of the simplex algorithm, where x is the number of columns incorporated. If objective is improved, goto step 1.
In mathematics (including combinatorics, linear algebra, and dynamical systems), a linear recurrence with constant coefficients [1]: ch. 17 [2]: ch. 10 (also known as a linear recurrence relation or linear difference equation) sets equal to 0 a polynomial that is linear in the various iterates of a variable—that is, in the values of the elements of a sequence.
Gas porosity is the fraction of a rock or sediment filled with a gas.. Determining the true porosity of a gas filled formation has always been a problem in the oil industry. . While natural gas is a hydrocarbon, similar to oil, the physical properties of the fluids are very different, making it very hard to correctly quantify the total amount of gas in a formati