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ABSTRACT
This study aims to compare the performance of the Perkins-Kern-Nordgren (PKN) and Khristianovic-Geertsma-de Klerk (KGD) models in optimizing fracture geometry within the context of hydraulic fracturing operations. Hydraulic fracturing plays a pivotal role in the extraction of hydrocarbons from unconventional reservoirs by creating fractures in the rock formation, thereby enhancing the permeability and facilitating the flow of fluids. The optimization of fracture geometry is crucial for maximizing hydrocarbon recovery and minimizing operational costs. The Perkins-Kern-Nordgren (PKN) model and the Khristianovic-Geertsma-de Klerk (KGD) model are two widely used analytical approaches for predicting fracture geometry in hydraulic fracturing. While both models provide valuable insights into fracture propagation behavior, they are based on different assumptions and formulations, which may lead to variations in their predictions. This study seeks to systematically evaluate and compare the accuracy and applicability of these models in various reservoir and operational scenarios. The methodology involves a comprehensive review of the theoretical foundations and mathematical formulations of the PKN and KGD models, including their assumptions, limitations, and underlying principles. Furthermore, Graphical comparisons will be conducted using a data analytic software to validate the predictions of both models against real-world data from case studies. Key parameters such as fracture length, height, width, in-situ stress, rock plane modulus, fracture fluid injection rate, fracture fluid viscosity and complexity will be analyzed and compared between the two models under different reservoir conditions, fluid properties, and operational parameters. The findings of this study are expected to provide valuable insights into the strengths and limitations of the PKN and KGD models in predicting fracture geometry optimization in hydraulic fracturing. By identifying the factors that influence the accuracy and reliability of each model, this research aims to enhance the understanding of fracture propagation mechanisms and improve the effectiveness of hydraulic fracturing operations. Ultimately, the results of this study will contribute to the optimization of fracture design strategies and the optimization of hydrocarbon recovery from unconventional reservoirs, thereby advancing the efficiency and sustainability of the oil and gas industry.
