Optimal Control of Polymer Flooding Based on Maximum Principle

Optimal Control of Polymer Flooding Based on Maximum Principle

Polymer flooding is one of the most important technologies for enhanced oil recovery EOR . In this paper, an optimal control model of distributed parameter systems DPSs for polymer injection strategies is established, which involves the performance index as maximum of the profit, the governing equations as the fluid flow equations of polymer flooding, and the inequality constraint as the polyme...

Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle

Polymer flooding is one of the most important technologies for enhanced oil recovery EOR . In this paper, an optimal control model of distributed parameter systems DPSs for polymer injection strategies is established, which involves the performance index as maximum of the profit, the governing equations as the fluid flow equations of polymer flooding, and some inequality constraints as polymer ...

Pontryagin Maximum Principle for Optimal Control of

In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle. The main tools used are the Ekeland's variational principle combined with penalization and spike variation techniques. 1. Introduction. The purpose of this paper is to present a method for deriving a Pontryagin ...

Optimal Control Theory - Module 3 - Maximum Principle

subject to (tf , x(tf )) ∈ S = [t0,∞)× S1 where S1 is a k dimensional manifold in Rn S1 = {x ∈ R : h1(x) = h2(x) = · · · = hn−k(x) = 0} where hi are C1 functions from Rn to R subject to ẋ = f(x, u), x(t0) = x0 for u ∈ C[t0, T ] and u(t) ∈ U ⊂ Rm with f and L being C1 functions. Let u∗ : [t0, tf ] → R be an optimal control with state trajectory x∗ : [t0, tf ] → Rn and a constant. Then there exis...

Optimal control of polymer flooding based on mixed-integer iterative dynamic programming