This study develops a unified multiparameter mathematical model for describing nonlinear fluid filtration in a hydrodynamically connected three-layer reservoir with heterogeneous properties. The proposed framework is intended for anomalous and non-Newtonian fluids and integrates thirteen filtration-law variants, including Darcy, initial-gradient, polygonal, curvilinear, power-law, hyperbolic, generalized, and structured-fluid models. The main advantage of the model is that different boundary-value problems can be selected through a single parameterized formulation without reconstructing the mathematical statement for each individual filtration law. Special attention is given to moving disturbance boundaries, interlayer crossflows, and the interaction between highly permeable and weakly permeable layers. A computational algorithm based on iterative numerical procedures, including the flow sweep method and boundary-tracking approach, is proposed for solving the formulated nonlinear problem. Numerical experiments for representative filtration laws demonstrate stable convergence, reliable tracking of disturbance-boundary positions, and improved computational efficiency compared with conventional iterative techniques. The results show that curvilinear filtration laws provide a more physically consistent description of nonlinear filtration processes under low pressure-gradient conditions. The developed model serves as a compact computational tool for analyzing pressure distribution, disturbance-zone dynamics, and crossflow behavior in multilayer porous media. Crucially, due to its parameterized architecture and reduced iterative overhead, this framework is optimized for seamless integration into real-time Digital Twin software platforms and automated smart reservoir management systems.
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