Abstract
A new method for joint determination of the hydraulic permeability of a porous structure and its capillary radius based on the Unarokov equation is developed., describing the kinetics of fluid absorption into a capillary-porous sample against gravity. The determination of these physico-technical characteristics of the porous structure is carried out on the basis of the results of two measurements of the coordinate of the motion of the capillary front and the time of the process in the framework of the experiment on absorbing liquid into the sample. The calculation of the hydraulic permeability and the capillary radius of the porous structure are based on the exact approximation of the Unarokov equation obtained in this paper by the Newton’s binomial
Highlights
Experimental methods for determining the physico-technical characteristics of a porous structure, such as hydraulic permeability and its capillary radius, are of great practical importance; in many cases they are standardized [1]
To measure the values of the physico-technical characteristics of porous structures in the framework of a one-dimensional experiment, samples are used in the form of porous plates, cores and one-dimensional samples of constant cross section The existing methods for determining the hydraulic and capillary characteristics of porous structures are based on several regularities describing the interaction of liquids with porous structures in the processes of pumping, capillary impregnation and absorption against gravity [2]
The main task of this article is development of an approximation of the Unarokov equation, describing the process of liquid absorption into a porous sample against gravity, which would be sufficiently accurate as a basis for a method of experimentally determining such physico-technical characteristics of a porous structure as hydraulic permeability and capillary radius
Summary
Experimental methods for determining the physico-technical characteristics of a porous structure, such as hydraulic permeability and its capillary radius, are of great practical importance; in many cases they are standardized [1]. To measure the values of the physico-technical characteristics of porous structures in the framework of a one-dimensional experiment, samples are used in the form of porous plates (filter materials), cores (rocks) and one-dimensional samples of constant cross section (heat pipe wicks) The existing methods for determining the hydraulic and capillary characteristics of porous structures are based on several regularities describing the interaction of liquids with porous structures in the processes of pumping, capillary impregnation and absorption against gravity [2]. The best-known method for the experimental determination of hydraulic permeability is the method of pumping fluid through a sample of a porous structure, based on Darcy's law: W=−(k/μ)·gradP [5]. To obtain analytical expressions for determining the capillary radius and hydraulic permeability of the porous structure based on the evaluation of the experimental data of the absorption curve for one experiment
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
