Beyond Three Dimensions: Decoding Multidimensional Flow Dynamics Through Innovations in Pressure Derivative Slopes for Better Understanding Reservoir Flow Regimes

Pressure derivative analysis has long been a cornerstone of well-test interpretation, offering invaluable insights into reservoir flow regimes and their associated dimensions. This paper investigates the relationship between the slope of the natural logarithmic pressure derivative and flow dimensions, proposing a novel perspective that extends beyond the conventional three-dimensional space. By analysing key flow regimes such as radial, linear, bilinear, and spherical stabilization flows, the study demonstrates how the concurrent interaction of multiple flow behaviours can exhibit characteristics indicative of higher-dimensional systems. Theoretical derivations for pressure derivatives and equivalent times are presented, facilitating accurate interpretation and mitigating superposition effects during pressure buildup tests. The findings not only enhance diagnostic capabilities but also challenge traditional understandings of fluid dynamics in porous media, providing a groundbreaking framework for reservoir characterization in complex geological settings.