Abstract:This paper presents a mathematical model that reflects the nature of the dynamic Young’s modulus of a dry sedimentary rock during nonstationary uniaxial loading. The model is based on an idealized model of a system suggested by Jaeger J.C. A rock sample is considered as a spring with stiffness, the bottom point of which is fixed, while the upper point carries a mass. A sample experiences dynamic load and the rock matrix response. Displacement of the mass from the equilibrium state sets the variation of the sam… Show more
“…The dynamics of changes in additional oil production from frequency coincides with the dynamics of changes in porosity from frequency reported by Guzev et al [6] and Zheng et al [8]. Researchers have noted an increase in porosity of 40-45% in the frequency range 8-20 Hz.…”
Section: Experience In the Use Of Wave Action In The Perm Regionsupporting
confidence: 84%
“…Guzev et al [6] and Zheng et al [8] noted an increase in porosity by 40-45% in the frequency range of 8-20 Hz. Increasing the frequency to 20 Hz leads to a decrease in the effect of wave action.…”
Section: Low-frequencymentioning
confidence: 96%
“…The results reported by Kozhevnikov et al [3] and Guzev et al [4] indicated an increase in the Young's modulus of sandstone with increasing values of dynamic load and frequency. Accordingly, an increase RESEARCH NOTE in the frequency of impact leads to the strengthening of rocks and a decrease in the likelihood of the formation of new cracks and voids [5,6].…”
When elastic waves act on rocks, the structure of the void space changes. The nucleation and formation of new cracks is possible. Wave action technologies are divided into two groups: with a frequency of less than 100 Hz and a frequency of more than 1 kHz. In the intermediate zone, no completed works and studies of wave action were found. The paper studies the results of the impact of elastic waves with different frequencies and amplitudes on oil production. With low-frequency exposure, an increase in permeability values is noted to a greater extent due to the appearance of new and an increase in the size of existing cracks. With high-frequency exposure, the viscosity of reservoir oil is greatly reduced. The greater the value of the initial viscosity, the more intense it decreases when exposed to highfrequency waves. For the Perm Territory, a comparison was made of the results of wave processing of production wells depending on the frequency of exposure. As the impact frequency increases, the average oil recovery after wave treatment decreases. With an increase in the frequency of exposure, the duration of operation of a well with increased oil production after wave treatment decreases. Models have been obtained to predict the time of operation of wells with additional oil production, additional oil production and an increase in oil production rate of wells after wave action. As a result, it can be noted that the most effective technologies are those with a lower frequency, but a large amplitude of exposure.
“…The dynamics of changes in additional oil production from frequency coincides with the dynamics of changes in porosity from frequency reported by Guzev et al [6] and Zheng et al [8]. Researchers have noted an increase in porosity of 40-45% in the frequency range 8-20 Hz.…”
Section: Experience In the Use Of Wave Action In The Perm Regionsupporting
confidence: 84%
“…Guzev et al [6] and Zheng et al [8] noted an increase in porosity by 40-45% in the frequency range of 8-20 Hz. Increasing the frequency to 20 Hz leads to a decrease in the effect of wave action.…”
Section: Low-frequencymentioning
confidence: 96%
“…The results reported by Kozhevnikov et al [3] and Guzev et al [4] indicated an increase in the Young's modulus of sandstone with increasing values of dynamic load and frequency. Accordingly, an increase RESEARCH NOTE in the frequency of impact leads to the strengthening of rocks and a decrease in the likelihood of the formation of new cracks and voids [5,6].…”
When elastic waves act on rocks, the structure of the void space changes. The nucleation and formation of new cracks is possible. Wave action technologies are divided into two groups: with a frequency of less than 100 Hz and a frequency of more than 1 kHz. In the intermediate zone, no completed works and studies of wave action were found. The paper studies the results of the impact of elastic waves with different frequencies and amplitudes on oil production. With low-frequency exposure, an increase in permeability values is noted to a greater extent due to the appearance of new and an increase in the size of existing cracks. With high-frequency exposure, the viscosity of reservoir oil is greatly reduced. The greater the value of the initial viscosity, the more intense it decreases when exposed to highfrequency waves. For the Perm Territory, a comparison was made of the results of wave processing of production wells depending on the frequency of exposure. As the impact frequency increases, the average oil recovery after wave treatment decreases. With an increase in the frequency of exposure, the duration of operation of a well with increased oil production after wave treatment decreases. Models have been obtained to predict the time of operation of wells with additional oil production, additional oil production and an increase in oil production rate of wells after wave action. As a result, it can be noted that the most effective technologies are those with a lower frequency, but a large amplitude of exposure.
“…In the existing theoretical and experimental works, there are not many dependencies that describe the change in the elastic modulus of a rock under the action of a dynamic load. In [41] a classical model (based on the model of Jaeger J.C. [42]) is presented for clastic rock, which is capable of describing the behavior (dispersion) of the dynamic modulus of elasticity in accordance with a power law on the basis of physically substantiated relations. Gradient models (see for example [43,44]) can be considered as a non-classical model capable of reflecting the variance of Young's modulus.…”
The paper presents the results of the experimental investigation of carbonate reservoir rocks subjected to quasistatic and nonlinear dynamic loads. During the quasistatic loading the zones of linear elasticity were determined. Dynamic loading of samples was performed at several frequencies and load amplitudes using a testing system. There were two zones found in which the elastic modulus changes nonlinearly in terms of dynamic load frequency. While the frequency of the dynamic load increases from 0 to 10 Hz the dynamic elastic modulus rises according to logarithmic law; while the frequency increases from 10 to 60 Hz elastic modulus rises according to a power law for each load amplitude. The amplitude of the longitudinal strain and phase shift decreases with increasing frequency of the dynamic load. Under the higher strain rates the rock gets stiffer in comparison with rock subjected to smaller strain rate dynamic loading. Saturation of rock samples with distilled water flattening the dependencies of dynamic Young’s modulus on frequency.
“…As the frequency of applied load increases, the rocks strengthen, but microfractures that facilitate fluid filtration have not been considered [18][19][20].…”
The research reveals that during selection of a method to increase oil recovery it is necessary to take into account rheological features of fluid movement through the formation, effect of capillary forces and heterogeneity of reservoir properties of the productive formation in thickness and along the bedding. Low-frequency wave impact, which is used to increase production in oil fields, is considered. At low-frequency impact new fractures appear and existing fractures in rocks increase in size. The greatest increase in porosity and permeability of rocks occurs at an impact frequency up to 10 Hz. Dynamics of oscillation amplitude during wave's movement in saturated porous medium is studied in the paper: essential attenuation of amplitude occurs at distance up to 1 m from borehole axis. With increase of frequency from 1 to 10 Hz the intensity of amplitude's attenuation decreases. The technology was tested on a well in Perm region (Russia). The actual permeability value was 50 % higher than the predicted value. According to the results of hydrodynamic investigations processing, it was noted that the greatest increase of permeability took place near the wellbore, while away from the wellbore axis permeability remained almost unchanged. In order to refine the mathematical model for prediction of wave impact on rock permeability it is necessary to take into account interconnection of pore space structure, change of adhesion layer, as well as to study transfer of particles during vibration.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.