Localized nonlinear solution strategies for efficient simulation of unconventional reservoirs

Accurate and efficient numerical simulation of unconventional reservoirs is challenging. Long periods transient flow steep potential gradients occur due to the extreme conductivity contrast between matrix fracture. Detailed near-well/near-fracture models are necessary provide sufficient resolution, but they computationally impractical for field cases with multiple fracture stages. Previous works in literature simulations mainly focus on gridding level that adapts wells fractures. Limited research has been conducted nonlinear strategies exploit locality across timesteps iterations. To perform localized computations, an a-priori strategy essential first determine active subset cells subsequent iteration. The set flags will be updated, then corresponding linear system solved. This work develops localization methods readily applicable complex networks physics reservoirs. By utilizing diffusive nature pressure updates, adaptive algorithm proposed make adequate estimates domains. In addition, we develop a solver based domain decomposition (DD). Comparing standard DD method, partitions dynamically constructed. new provides effective partitioning dynamics Newton updates. We evaluate developed using several problems discrete networks. results show large degrees solution present solver, solvers enable superior computational performance. Moreover, convergence behavior preserved, without any impact accuracy.