Diffusion Rate Modelling of Natural Gas Condensate from the Niger Delta Geological Formation in Marine Environment
Abstract
A comprehensive mathematical model was developed to monitor and predict the diffusion rate of natural gas condensate within a marine environmental system in the Niger Delta. Specifically utilizing natural gas condensate sourced from the Niger Delta geological formation region of Nigeria. The model is based on a first-order differential equation, which was derived and subsequently solved using the Laplace transformation method. This approach was further refined utilizing partial fraction decomposition, alongside the application of relevant boundary conditions. The model enables the monitoring of concentration of dissolved natural gas condensate components in water over time, as well as determination of the equilibrium concentration of these components. Results from the analysis indicated a notable increase in both the concentration of dissolved hydrocarbon components (CHCW) and the equilibrium concentration of these hydrocarbons (C*HCW) in the marine environment. Furthermore, the model facilitates predictions of the concentration levels of dissolved hydrocarbons at various residence times (?). The relationship between the residence time and the concentration of the dissolved hydrocarbon components was meticulously explored, leading to insights into the behavior of these compounds in marine settings. This improved understanding is critical for assessing environmental impacts and developing strategies for effective management of natural gas condensate in aquatic ecosystems. A model was established that yields the slope of the graph effectively. The developed model illustrates the utility of the mathematical equation derived for monitoring, predicting, and evaluating the rate at which natural gas condensate diffuses in marine environments. This approach enhances our understanding of the dispersion dynamics, providing valuable insights for environmental assessments and management strategies related to natural gas spills in aquati
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