Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid

Abstract: This work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids, diffusion principles, and friction relations to formulate the recovered fracturing fluid model. The latter is a partial differential system composed of a nonlinear and nonsmooth stationary incompressible Navier-Stokes equation with a multivalued friction boundary condition, and a nonlinear convection–reaction–diffusion equation with mixed Neumann boundary conditions. Then, we provide the weak formulation of the fluid model which is a hemivariational inequality driven by a nonlinear variational equation. We establish existence of solutions to the recovered fracturing fluid model via a surjectivity theorem for multivalued operators combined with an alternative iterative method and elements of nonsmooth analysis.

Objekt anzeigen

• Standort: Deutsche Nationalbibliothek Frankfurt am Main
• Umfang: Online-Ressource
• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid ; volume:13 ; number:1 ; year:2024 ; extent:24 ; Advances in nonlinear analysis ; 13, Heft 1 (2024) (gesamt 24)

Beteiligte, Orts- und Zeitangaben

• Urheber: Cen, Jinxia ; Migórski, Stanisław ; Yao, Jen-Chih ; Zeng, Shengda

Weitere Informationen

• DOI: 10.1515/anona-2023-0141
• URN: urn:nbn:de:101:1-2024032914393488261343
• Rechteinformation: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.