Poroelastic effects of the damaged zone on fracture reflectivity and normal compliance

Author(s):  
Edith Sotelo ◽  
J. German Rubino ◽  
Santiago G. Solazzi ◽  
Nicolas D. Barbosa ◽  
Klaus Holliger
Plants ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 372
Author(s):  
Ekaterina Sukhova ◽  
Elena Akinchits ◽  
Sergey V. Gudkov ◽  
Roman Y. Pishchalnikov ◽  
Vladimir Vodeneev ◽  
...  

Variation potential (VP) is an important long-distance electrical signal in higher plants that is induced by local damages, influences numerous physiological processes, and participates in plant adaptation to stressors. The transmission of increased hydraulic pressure through xylem vessels is the probable mechanism of VP propagation in plants; however, the rates of the pressure transmission and VP propagation can strongly vary. We analyzed this problem on the basis of a simple mathematical model of the pressure distribution along a xylem vessel, which was approximated by a tube with a pressure gradient. It is assumed that the VP is initiated if the integral over pressure is more than a threshold one, taking into account that the pressure is transiently increased in the initial point of the tube and is kept constant in the terminal point. It was shown that this simple model can well describe the parameters of VP propagation in higher plants, including the increase in time before VP initiation and the decrease in the rate of VP propagation with an increase in the distance from the zone of damage. Considering three types of the pressure dynamics, our model predicts that the velocity of VP propagation can be stimulated by an increase in the length of a plant shoot and also depends on pressure dynamics in the damaged zone. Our results theoretically support the hypothesis about the impact of pressure variations in xylem vessels on VP propagation.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Abderrezak Kasri

Abstract The aim of this paper is to study a quasistatic contact problem between an electro-elastic viscoplastic body with damage and an electrically conductive foundation. The contact is modelled with an electrical condition, normal compliance and the associated version of Coulomb’s law of dry friction in which slip dependent friction is included. We derive a variational formulation for the model and, under a smallness assumption, we prove the existence and uniqueness of a weak solution.


2021 ◽  
Author(s):  
Matias Alonso ◽  
Jean Vaunat ◽  
Minh-Ngoc Vu ◽  
Antonio Gens

<p>Argillaceous rocks have great potential as possible geological host medium to store radioactive waste.  Andra is leading the design of a deep geological nuclear waste repository to be located in the Callovo-Oxfordian formation. In the framework of this project, excavations of large diameter galleries are contemplated to access and to store intermediate-level long-lived nuclear waste at repository main level. The closure of the repository will be realized by building sealing structures of expansive material.</p><p>The response of such structures is affected by several thermo-hydro-mechanical coupled processes taking place in the near and far field of the argillaceous formations. They include the formation of an excavation induced damaged zone around the galleries, the impact of the thermal load on host rock pressures and deformations, the long-term interaction with support concrete structural elements and the hydration and swelling of sealing materials. As a result, the study of their performance requires to perform simulation works of increasing complexity in terms of coupling equations, problem geometry and material behaviour. As well, challenging computational aspects, as the ones related to fractures creation and propagation, have to be considered for a representative analysis of the problem.</p><p>This work presents advanced large scale THM numerical models to provide keys about the response of the host rock around large diameter galleries during excavation and further thermal load as well as to analyse the performance of large diameter sealing structures. Particular features of the models include on one hand advanced constitutive laws to capture the development of the fractured zone around excavations, the behaviour of host rock/gallery support interfaces and the multi-scale response of bentonitic backfill. On the other hand, simulations consider geometries including constructive details of interest at decimetre scale within large discretization domain covering the whole formation stratigraphic column.</p><p>These challenging simulations provided qualitative and quantitative results on key aspects for natural and engineered barrier integrity, like extension of the damaged zone, impact of the thermal load and water pressure variations in the surrounding geological layers, duration of natural hydration phase, swelling pressure development and seals global stability.</p>


2017 ◽  
Vol 24 (3) ◽  
pp. 543-551 ◽  
Author(s):  
Vladimir Y. Zaitsev ◽  
Andrey V. Radostin ◽  
Elena Pasternak ◽  
Arcady Dyskin

Abstract. Results of examination of experimental data on non-linear elasticity of rocks using experimentally determined pressure dependences of P- and S-wave velocities from various literature sources are presented. Overall, over 90 rock samples are considered. Interpretation of the data is performed using an effective-medium description in which cracks are considered as compliant defects with explicitly introduced shear and normal compliances without specifying a particular crack model with an a priori given ratio of the compliances. Comparison with the experimental data indicated abundance (∼ 80 %) of cracks with the normal-to-shear compliance ratios that significantly exceed the values typical of conventionally used crack models (such as penny-shaped cuts or thin ellipsoidal cracks). Correspondingly, rocks with such cracks demonstrate a strongly decreased Poisson ratio including a significant (∼ 45 %) portion of rocks exhibiting negative Poisson ratios at lower pressures, for which the concentration of not yet closed cracks is maximal. The obtained results indicate the necessity for further development of crack models to account for the revealed numerous examples of cracks with strong domination of normal compliance. Discovering such a significant number of naturally auxetic rocks is in contrast to the conventional viewpoint that occurrence of a negative Poisson ratio is an exotic fact that is mostly discussed for artificial structures.


2000 ◽  
Vol 3 (03) ◽  
pp. 256-262 ◽  
Author(s):  
Amit K. Sarkar ◽  
Lee Jaedong ◽  
Ekrem Kasap

Summary Wireline formation testers are routinely used at discrete depths of a well to collect reservoir fluid samples and to estimate undisturbed reservoir pressures, near-wellbore formation permeabilities, fluid compressibilities, and saturation pressures. A pressure profile in the vertical direction yields fluid densities and fluid contacts (gas/oil and water/oil contacts) in the reservoir. Reliable results are obtained when the mudcake isolates the wellbore from the formation. When the mudcake cannot provide isolation, mud filtrate invasion continues and supercharging occurs. The issue of sample quality becomes critical when using oil-based muds because the filtrate is also oil and is difficult to separate from the formation oil, a pure sample of which is needed for fluid characterization studies. This study investigated the effects of poor mudcake seal on sample quality and formation test data and its analysis when oil-based muds are used. Modeling studies were conducted using a finite-element simulator. The results of the study indicate that mudcake permeabilities must be less than 1 µd and mudcake-to-formation permeability ratios must be less than 10–4 to achieve sample qualities higher than 90%. Such conditions as high pumpout rates, low overbalance pressures, and shallow filtrate invasion depths improve sample quality. The presence of a permeability-damaged zone around the mudcake improves the sample quality but reduces the sampling pressure. The formation rate analysis (FRASM)*** technique estimates formation permeability accurately in the presence or absence of supercharging. The formation pressure estimated using the buildup data is the pressure at the mudcake-formation interface. The supercharged pressure must be subtracted from the apparent formation pressure to obtain the true formation pressure. A simple procedure is developed for estimating the mudcake permeability and the supercharged pressure. Supercharged pressure is shown to be a product of the apparent overbalance pressure, mudcake-to-formation permeability ratio, and an invasion factor representing the distance up to which supercharging extends. Introduction Drilling typically alters formations in such a way that a mudcake, a fines-invaded zone, and a filtrate-invaded zone are created between the wellbore and the native formation (Fig. 1, top). Zone properties such as thickness, permeability, porosity, and fluid saturation depend upon the mud and formation properties, hole size, and overbalance pressure, which is the difference between the wellbore and the formation pressure. Mudcake is an external (outside the formation) layer created by the fines-migration mechanisms of size exclusion and bridging.1 The fines-invaded zone is created by smooth deposition and bridging. The fines involved are generated by the processes of drilling, sudden salinity changes in porous media, and high viscous forces. The zone permeability may be an order of magnitude less than that of the formation. The filtrate-invaded zone usually extends beyond the fines-invaded zone. Poor quality mudcakes with low thicknesses and high permeabilities are commonly formed on surfaces of low permeability formations because the rate of filtrate flow through the formation is low. The filtrate invasion continues and the pressures in the near-wellbore area are higher than the native formation pressure. This phenomenon is called supercharging (Fig. 1, bottom). Use of oil-based muds has increased recently because of advantages such as faster penetration, good wellbore stability, better lubrication that is especially important in deviated wellbores, and less solid and filtrate invasion into the formation. Lee and Kasap2 used a three-dimensional, single-phase, two-component, isothermal finite-element simulator to study the quality of samples (fraction of formation oil in the sample) received from a wireline formation tester (WFT) when oil-based muds were used. The simulator models wellbore geometry and formation-tool connections realistically; wellbore radius, mudcake thickness, permeability, and porosity are simulated functionally. Effects of viscous and dispersive forces are considered but not those of gravitational forces. For a sealing-type of mudcake, the results indicated that the sample quality reached 90% for a filtrate invasion distance of 10 cm. The rate of increase in sample quality with further pumpout was too low. The pumpout rate and formation permeability were insensitive parameters. The pumpout time required to obtain high-quality samples increased exponentially with the depth of filtrate invasion. The presence of a permeability-damaged zone around the wellbore improved sample quality because the angular inflow of filtrate from the invaded zone decreased. Higher formation anisotropy (horizontal-to-vertical permeability ratio) also improved sample quality because the vertical flow from the filtrate-invaded zone decreased. Effects of leaking mudcakes have previously been studied to a limited extent.2,3 This study investigates the effects of mudcake quality on fluid sampling and supercharging when oil-based muds are used. The results of the study indicate that both the mudcake permeability and the mudcake-to-formation permeability ratio must be low to achieve high-quality samples. Conditions including high pumpout rates, low overbalance pressures, and shallow filtrate invasion depths improve sample quality. The presence of a permeability-damaged zone around the mudcake improves sample quality but reduces the sampling pressure. A simple procedure is developed for estimating the supercharged pressure that must be subtracted from the apparent reservoir pressure to obtain the true formation pressure.


Materials ◽  
2021 ◽  
Vol 14 (21) ◽  
pp. 6686
Author(s):  
Bartosz Miller ◽  
Leonard Ziemiański

This paper presents a numerical study of the feasibility of using vibration mode shapes to identify material degradation in composite structures. The considered structure is a multilayer composite cylinder, while the material degradation zone is, for simplicity, considered a square section of the lateral surface of the cylinder. The material degradation zone size and location along the cylinder axis are identified using a deep learning approach (convolutional neural networks, CNNs, are applied) on the basis of previously identified vibration mode shapes. The different numbers and combinations of identified mode shapes used to assess the damaged zone size and location were analyzed in detail. The final selection of mode shapes considered in the identification procedure yielded high accuracy in the identification of the degradation zone.


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