Study on the Attenuation Law of Hydraulic Fracture Conductivity and Damage Law of Gas Well Production

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The research aims to explore the impact of rock creep behavior on the conductivity of hydraulic fractures and gas well productivity.
Developed a fractional creep constitutive equation using fractional calculus principles.
Established a damage model for flow capacity considering proppant embedment and deformation.
Analyzed the effects of flow capacity damage on gas well productivity using a gas-water two-phase production model.
Creep-induced flow capacity damage is more significant than the effects from proppant embedment and deformation.
Parameters related to fractional relaxation time and derivative order in the creep equation have minimal impact on gas well productivity.
The viscoelastic modulus significantly influences productivity and can characterize reservoir creep behavior.

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Investigates flow capacity damage impacts on gas well production, suggesting significant effects of rock behavior.

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Luo et al. (2026) studied this question.

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