ABOUT DARSY’S LAW DURING FLUIDS MOTION IN THE MICRO-CRACKED CHANNELS
Firstly it has been experimentally revealed that during fluid motion in the micro-cracked channel and in the equivalent porous medium an unknown additional resistance arises in the scientific technical literature that is the “microcrack-fluid” effect. It has been demonstrated that the determined “microcrack-fluid” effect is the cause of linear Darcy’s law violation in the micro-cracked channels.
It has been revealed in the work that during fluids moving in the microcracked channel there is a critical size of crack for the homogeneous fluid (water, viscous and anomalous fluids) and a hydrodynamic effect as so-called “microcrack-fluid” is manifested.
So for the first time we determined the critical value of opening − hcr on the basis of experimental investigations in cracks. It was found that at h<hcr the anomalous properties are manifested for viscous fluids and rheological parameters are increased for anomalous fluids, and at h≥hcr these effects disappear. It has been established that the reason of the anomalous behavior of fluids in the microcrack with h<hcr opening is the effect occurred in the “microcrack-fluid” system.
It is shown that microcrack with certain opening can be considered as a model but the ultra-low permeable porous medium is nature.
It has been determined that the critical value of the Reynolds number calculated for viscous and abnormal fluids in the microcracked channel and in the equivalent porous medium in the microcrack is Re<1.
The new fact about Darcy’s law violation during fluids flow in microcrack with h<hcr opening has been experimentally revealed i.e. micro-cracked effect of “microcrack-fluid” system is a cause of Darcy’s law violation.
It is recommended to taking into consideration the microcracked effect in the “fluid-medium” system for regulation and creation of the new technical and technological processes in the different branches of industry
Mirzadzhanzade, A. H., Barenblatt, G. I., Entov, V. M., Zheltov, Yu. V., Margulov, G. D., Rassohin, G. V., Ryzhik, V. M. (1970). O vozmozhnom vliyanii nachal'nogo gradienta na razrabotku mnogoplastovyh gazovyh i gazokondensatnyh mestorozhdeniy pri vodonapornom rezhime. Izvestiya vysshih uchebnyh zavedeniya. Neft' i gaz, 1, 39–45.
Mirzadzhanzade, A. H., Mingareev, R. Sh., Entov, V. M., Grayfer, V. I., Vahitov, G. G., Diyashev, R. N., Zaytsev, Yu. V. (1972O nelineynoy fil'tratsii v sloistyh plastah, 1, 44–49. Available at: https://oil-industry.net/Journal/archive_detail.php?ID=5738&art=105169
Scheidegger, A. E. (1954). Statistical Hydrodynamics in Porous Media. Journal of Applied Physics, 25 (8), 994–1001. doi: https://doi.org/10.1063/1.1721815
Kotov, A. I., Nerpin, S. V. (1958). Vodoupornye svoystva glinistyh pochv i gruntov i priroda nachal'nyh gradientov fil'tratsii. Izvestiya AN SSSR, OTN, 9, 106–119.
Deryagin, B. V., Churaev, N. V. (1987). Structure of water in thin layers. Langmuir, 3 (5), 607–612. doi: https://doi.org/10.1021/la00077a002
Korotenko, V. A., Grachev, S. I., Kushakova, N. P., Sabitov, R. R. (2014). Physical models of viscous-plastic oils displacement. Neftepromyslovoe delo, 5, 5–10. Available at: https://www.elibrary.ru/item.asp?id=21478987 /
Grachev, S. I., Korotenko, V. A., Kushakova, N. P., Zotova, O. P. (2016). The question of the displacement of oil from the anomalous collectors. Advances in current natural sciences, 10, 114–118.
Zakirov, S. N., Barenbaum, A. A., Zakirov, E. S., Indrupskiy, I. M., Serebryakov, V. A., Klimov, D. S. (2016). Revisiting the Development of Oil Deposits with Low Permeability Reservoirs. Indian Journal of Science and Technology, 9 (42). doi: https://doi.org/10.17485/ijst/2016/v9i42/104219
Liu, W., Yao, J., Chen, Z., Liu, Y. (2015). Effect of quadratic pressure gradient term on a one-dimensional moving boundary problem based on modified Darcy’s law. Acta Mechanica Sinica, 32 (1), 38–53. doi: https://doi.org/10.1007/s10409-015-0526-2
Mamedova, M. A., Gurbanov, R. S. (2015). Investigation of the Rheology of Fluids in Fracture and Pore Channels and Determination of Their Opening. Journal of Engineering Physics and Thermophysics, 88 (4), 815–824. doi: https://doi.org/10.1007/s10891-015-1256-9
Mammadova, M., Gurbanov, R. S. (2017). Hydromechanical substantiation of the microcrack-fluid effect. Mechanics, 22 (6). doi: https://doi.org/10.5755/j01.mech.22.6.12649
Pavlov, I. A. (2008). Experimental investigations of the nonlinear filtration in the faulted mountain massif. Journal “Mining informational analytical bulletin”, 2, 302–308.
Copyright (c) 2020 Maleyka Mammadova
This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the CREATIVE COMMONS copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons Attribution License, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.