Lyapunov Approach For Stability Investigation Of Well - Production Model For Fluid Flow:- Ogbonna, Christopher O.
ABSTRACT
This research work presents Lyapunov approach for stability
investigation of well - production model for fluid flow. It is established that
a well production rate u(t) is essentially a controller used in the Lyapunov stability
analysis. The physical relationships for the conservation of mass with an
equation of motion and an equation of state of the mathematical models which
describes the fluid flow in well – production model were combined, which leads
to the diffusivity equation known as heat equation. The horizontal well model
that describes the interaction between the well and the reservoir is cast into
a boundary control problem of the porous medium equation with mixed boundary conditions.
Finally, we arrived at a boundary control problem of the Boussinesq equation.
Hence, a well rate controller u(t) for the boundary control problem is designed
such that it exponentially stabilizes the system to an equilibrium state as t
becomes large.
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CHRISTOPHER, C (2024). Lyapunov Approach For Stability Investigation Of Well - Production Model For Fluid Flow:- Ogbonna, Christopher O.. Repository.mouau.edu.ng: Retrieved Dec 03, 2024, from https://repository.mouau.edu.ng/work/view/lyapunov-approach-for-stability-investigation-of-well-production-model-for-fluid-flow-ogbonna-christopher-o-7-2
CHIBUIKE, CHRISTOPHER. "Lyapunov Approach For Stability Investigation Of Well - Production Model For Fluid Flow:- Ogbonna, Christopher O." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 09 Jan. 2024, https://repository.mouau.edu.ng/work/view/lyapunov-approach-for-stability-investigation-of-well-production-model-for-fluid-flow-ogbonna-christopher-o-7-2. Accessed 03 Dec. 2024.
CHIBUIKE, CHRISTOPHER. "Lyapunov Approach For Stability Investigation Of Well - Production Model For Fluid Flow:- Ogbonna, Christopher O.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 09 Jan. 2024. Web. 03 Dec. 2024. < https://repository.mouau.edu.ng/work/view/lyapunov-approach-for-stability-investigation-of-well-production-model-for-fluid-flow-ogbonna-christopher-o-7-2 >.
CHIBUIKE, CHRISTOPHER. "Lyapunov Approach For Stability Investigation Of Well - Production Model For Fluid Flow:- Ogbonna, Christopher O." Repository.mouau.edu.ng (2024). Accessed 03 Dec. 2024. https://repository.mouau.edu.ng/work/view/lyapunov-approach-for-stability-investigation-of-well-production-model-for-fluid-flow-ogbonna-christopher-o-7-2