Mechanistic Modeling of CO2 Migration in Heterogeneous Porous Media Using Wavelet-Assisted Damped Fractional Brownian Motion

Accurately modeling CO₂ diffusion in low-permeability heterogeneous reservoirs is critical for optimizing enhanced oil recovery and carbon sequestration strategies. We present a novel stochastic time series model that integrates damping effects, fractional Brownian motion, and wavelet transforms to simulate CO₂ migration and diffusion behavior in complex porous media. Compared to traditional approaches, our model captures multi-scale heterogeneity and dynamic fluctuations more effectively, offering improved predictive accuracy at microscopic spatial and temporal scales. This approach provides a refined understanding of CO₂ transport mechanisms in tight reservoirs and supports the design of more efficient CO₂-EOR and CCUS operations.