Optimal time control for reservoir optimization - NTNU

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CLRM Introduction 6 Smart Field Annual Meeting 2012, Stanford University Optimal time control for reservoir optimization
Optimal control Introduction The optimal control problem may be stated in a canonical form as follows max u J(u) = ψ(x(T )) + ∫ T 0 L(x(t), u(t)) dt Subject to ẋ(t) = A(x(t))x(t) + B(x(t))u(t) x(0) = ¯x 0 u(t) ∈ U, ∀t ∈ [0, T ] ✁ ✁✕ U = {q ∈ R m : u min ≤ q ≤ u max } ✁ ✁ ✁ Control Input 7 Smart Field Annual Meeting 2012, Stanford University Optimal time control for reservoir optimization
Page 1 and 2: Optimal time control for reservoir
Page 3 and 4: IO-Center NTNU On going projects on
Page 5: Outline IO-Center NTNU 1 Introducti
Page 9 and 10: Motivation Introduction u ✻ 1 ✻
Page 11 and 12: Motivation Introduction u ✻ 1 ✻
Page 13 and 14: Motivation Introduction u ✻ 1 0
Page 15 and 16: Reservoir and well model State spac
Page 17 and 18: Well model Reservoir and well model
Page 19 and 20: Well model Reservoir and well model
Page 21 and 22: Gradient Computation Gradient of th
Page 23 and 24: Gradient Computation Applying heuri
Page 39 and 40: Reservoir Model Simulation Figure:
Page 41 and 42: Simulation Optimization settings Th
Page 43 and 44: Objective function Simulation
Page 45 and 46: Conclusions Conclusions A novel opt

Optimal time control for reservoir optimization - NTNU

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