The capillary pressure curves from upscaling interfacial and unsaturated flows in porous layers with vertical heterogeneity

作     者：Zhong Zheng Zhong Zheng

作者机构：State Key Laboratory of Ocean EngineeringSchool of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China MOE Key Laboratory of HydrodynamicsSchool of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2023年第13卷第4期

页      面：287-290页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：by the Program for Professor of Special Appointment(Eastern Scholar No.TP2020009)at Shanghai Institutions of Higher Learning 

主　　题：Flow upscaling Interfacial and unsaturated flow Wetting and capillary effects Porous layer Heterogeneity 

摘      要：We provide the capillary pressure curves p_(c)(s)as a function of the effective saturation s based on the theoretical framework of upscaling unsaturated flows in vertically heterogeneous porous layers proposed recently(***,Journal of Fluid Mechanics,950,A17,2022).Based on the assumption of vertical gravitational-capillary equilibrium,the saturation distribution and profile shape of the invading fluid can be obtained by solving a nonlinear integral-differential *** capillary pressure curves p_(c)(s)can then be constructed by systematically varying the injection *** with the relative permeability curves k_(rn)(s)that are already *** can now provide quick estimates on the overall behaviours of interfacial and unsaturated flows in vertically-heterogeneous porous layers.