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Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery

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  • Alessandro Lenci

    (Department of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, Italy
    These authors contributed equally to this work.)

  • Farhad Zeighami

    (Department of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, Italy
    These authors contributed equally to this work.)

  • Irene Daprà

    (Department of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, Italy)

  • Vittorio Di Federico

    (Department of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, Italy)

Abstract

This research delves into the complexities of backflow phenomena in finite-length and flat-walled fractures with elastic walls, specifically focusing on power-law fluids, whose shear-thinning behavior distinguishes them from Newtonian fluids. We model the backflow process under the lubrication approximation and by incorporating the linear Navier slip law. We numerically examine the influence of parameters such as slip length, fluid rheology, and external pressure on the backflow propagation of the carrier fluid. Our findings underscore the significant role played by the rheological index in determining the fracture closure rate. Additionally, our investigations highlight the marked effect of external pressure variations on pressure distribution within the fracture. Notably, the friction coefficient at the fracture walls, as denoted by a dimensionless slip number, exhibits limited influence on the fundamental dynamics of the problem. These insights advance our understanding of power-law fluid backflow and have wide-ranging applications across various engineering disciplines.

Suggested Citation

  • Alessandro Lenci & Farhad Zeighami & Irene Daprà & Vittorio Di Federico, 2023. "Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery," Energies, MDPI, vol. 16(24), pages 1-14, December.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:24:p:7999-:d:1297432
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    References listed on IDEAS

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