论文标题
物理知识的机器学习,具有可区分的编程,用于异质地下储层压力管理
Physics-informed machine learning with differentiable programming for heterogeneous underground reservoir pressure management
论文作者
论文摘要
避免地下储层中的过度压力对于诸如二氧化碳和废水注入之类的应用至关重要。通过控制注入/提取来管理压力,由于地下中的复杂异质性。异质性通常需要高保真物理的模型来对Co $ _2 $命运做出预测。此外,精确表征异质性的特征充满了参数不确定性。考虑到异质性和不确定性,这都使这是对当前储层模拟器的计算密集型问题。为了解决这个问题,我们使用全物理模型和机器学习的可区分编程来确定液体提取率,以防止关键储层位置过度压力。我们使用DPFEHM框架,该框架具有基于标准的两点通量有限体积离散化的值得信赖的物理学,并且像机器学习模型一样自动差异化。我们的物理知识的机器学习框架使用卷积神经网络根据渗透率领域学习适当的提取率。我们还执行超参数搜索以提高模型的准确性。执行培训和测试方案,以评估使用物理知识的机器学习来管理储层压力的可行性。我们构建并测试了一个足够精确的模拟器,该模拟器比基于物理的模拟器快400000倍,从而允许近乎实时分析和鲁棒的不确定性定量。
Avoiding over-pressurization in subsurface reservoirs is critical for applications like CO2 sequestration and wastewater injection. Managing the pressures by controlling injection/extraction are challenging because of complex heterogeneity in the subsurface. The heterogeneity typically requires high-fidelity physics-based models to make predictions on CO$_2$ fate. Furthermore, characterizing the heterogeneity accurately is fraught with parametric uncertainty. Accounting for both, heterogeneity and uncertainty, makes this a computationally-intensive problem challenging for current reservoir simulators. To tackle this, we use differentiable programming with a full-physics model and machine learning to determine the fluid extraction rates that prevent over-pressurization at critical reservoir locations. We use DPFEHM framework, which has trustworthy physics based on the standard two-point flux finite volume discretization and is also automatically differentiable like machine learning models. Our physics-informed machine learning framework uses convolutional neural networks to learn an appropriate extraction rate based on the permeability field. We also perform a hyperparameter search to improve the model's accuracy. Training and testing scenarios are executed to evaluate the feasibility of using physics-informed machine learning to manage reservoir pressures. We constructed and tested a sufficiently accurate simulator that is 400000 times faster than the underlying physics-based simulator, allowing for near real-time analysis and robust uncertainty quantification.