Abd Abdul Salam, Asif Ali, Abushaikha Ahmad
Division of Sustainable Development, College of Science and Engineering, Education City, Hamad Bin Khalifa University, Qatar Foundation, P. O. Box 5825, Doha, Qatar.
Sci Rep. 2024 Jul 7;14(1):15626. doi: 10.1038/s41598-024-66628-3.
Reservoir simulation is crucial for understanding the flow response in underground reservoirs, and it significantly helps reduce uncertainties in geological characterization and optimize methodologies for field development strategies. However, providing efficient and accurate solutions for the strong heterogeneity remains challenging, as most of the discretization methods cannot handle this complexity. In this work, we perform a comprehensive assessment of various numerical linearization techniques employed in reservoir simulation, particularly focusing on the performance of the nonlinear solver for problem dealing with fluid flow in porous media. The primary linearization methods examined are finite difference central (FDC), finite forward difference (FDF), and operator-based linearization (OBL). These methods are rigorously analyzed and compared in terms of their accuracy, computational efficiency, and adaptability to changing reservoir conditions. The results demonstrate that each method has distinct strengths and limitations. The FDC method is more accurate particularly in complex simulations where strong heterogeneity are introduced but is generally slower in convergence. The OBL on the other hand, is more efficient and converges quickly, which makes it suitable for scenarios with limited computational resources and simple physics, while the FDF method provides a balanced combination of precision and computational speed, contingent upon careful step size management of the derivative estimations. This paper aims to guide the selection of appropriate linearization techniques for enhancing nonlinear solvers' accuracy and efficiency in reservoir simulation .
油藏模拟对于理解地下油藏中的流动响应至关重要，并且极大地有助于减少地质表征中的不确定性并优化油田开发策略的方法。然而，为强非均质性提供高效且准确的解决方案仍然具有挑战性，因为大多数离散化方法无法处理这种复杂性。在这项工作中，我们对油藏模拟中使用的各种数值线性化技术进行了全面评估，特别关注用于处理多孔介质中流体流动问题的非线性求解器的性能。所研究的主要线性化方法是有限差分中心（FDC）、有限前向差分（FDF）和基于算子的线性化（OBL）。这些方法在准确性、计算效率以及对不断变化的油藏条件的适应性方面进行了严格分析和比较。结果表明，每种方法都有明显的优点和局限性。FDC方法在引入强非均质性的复杂模拟中尤其准确，但收敛速度通常较慢。另一方面，OBL更高效且收敛迅速，这使其适用于计算资源有限且物理过程简单的情况，而FDF方法在导数估计的步长管理得当的情况下，提供了精度和计算速度的平衡组合。本文旨在指导选择合适的线性化技术，以提高油藏模拟中非线性求解器的准确性和效率。
