Abstract
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
Highlights
IntroductionThe actual geometry of the microcrack space can be equivalent to the corresponding porous medium it is advisable to conduct the experiments in microcracks and to use these results in the corresponding porous medium
As it is known there is a law proving that the volume of water flowing through a sand layer with known properties is proportional to pressure and inversely proportional to the sand layer thickness [1,2,3,4,5,6,7,8,9].The actual geometry of the microcrack space can be equivalent to the corresponding porous medium it is advisable to conduct the experiments in microcracks and to use these results in the corresponding porous medium.As it is known with increasing filtration rate the Darcy’s law is violated
For the first time, it was experimentally revealed that the cause of the manifestation of anomalous properties of viscous fluids, in particular water, and the enhancement of these properties for anomalous fluids in cracks, is the new microcrack effect of the “microcrack-fluid” system we discovered
Summary
The actual geometry of the microcrack space can be equivalent to the corresponding porous medium it is advisable to conduct the experiments in microcracks and to use these results in the corresponding porous medium. As it is known with increasing filtration rate the Darcy’s law is violated. For example the results of experiments [2] with sand and gravel mixture have shown that three ranges can be distinguished:. In this work it has been shown as well that ground water filtration is considered as the increased instability movement. There is the deviation from the linear Darcy’s law at Re>5 in the authors’ experiments
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