Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery
نویسندگان
چکیده
Abstract In this contribution, we develop an efficient surrogate modeling framework for simulation-based optimization of enhanced oil recovery, where particularly focus on polymer flooding. The computational approach is based adaptive training procedure a neural network that directly approximates input-output map the underlying PDE-constrained problem. process thereby focuses construction accurate model solely related to path outer iterative loop. True evaluations objective function are used finally obtain certified results. Numerical experiments given evaluate accuracy and efficiency heterogeneous five-spot benchmark
منابع مشابه
Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization
We present a class of inexact adaptive multilevel trust-region SQP-methods for the efficient solution of optimization problems governed by nonlinear partial differential equations. The algorithm starts with a coarse discretization of the underlying optimization problem and provides during the optimization process 1) implementable criteria for an adaptive refinement strategy of the current discr...
متن کاملLossy compression for PDE-constrained optimization: adaptive error control
For the solution of optimal control problems governed by nonlinear parabolic PDEs, methods working on the reduced objective functional are often employed to avoid a full spatio-temporal discretization of the problem. The evaluation of the reduced gradient requires one solve of the state equation forward in time, and one backward solve of the adjoint equation. The state enters into the adjoint e...
متن کاملAlgorithms for PDE-Constrained Optimization
In this paper we review a number of algorithmic approaches for solving optimization problems with PDE constraints. Most of these methods were originally developed for finite dimensional problems. When applied to optimization problems with PDE constraints, new aspects become important. For instance, (discretized) PDE-constrained problems are inherently large-scale. Some aspects, like mesh indepe...
متن کاملModel Problems in PDE-Constrained Optimization
This work aims to aid in introducing, experimenting and benchmarking algorithms for PDE-constrained optimization problems by presenting a set of such model problems. We specifically examine a type of PDE-constrained optimization problem, the parameter estimation problem. We present three model parameter estimation problems, each containing a different type of partial differential equation as th...
متن کاملConstrained Programming for Optimization Problems in PDE
Optimization problems in PDE models are often approached by considering the PDE model as a black-box input-output relation and thus solving an unconstrained optimization problem. In contrast to that, considering the PDE model as a side condition of a resulting constrained programming problem enables us to simultaneously solve the PDE model equations together with the optimization problem. This ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2022
ISSN: ['1019-7168', '1572-9044']
DOI: https://doi.org/10.1007/s10444-022-09981-z