Relaxation-induced flow in a smooth fracture for Ellis rheology

Ciriello, Valentina; Lenci, Alessandro; Longo, Sandro; Federico, Vittorio Di

doi:10.1016/j.advwatres.2021.103914

Cited by 12 publications

(12 citation statements)

References 32 publications

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“…Myers 2005). In order to eliminate this inconsistency and to adapt the rheological model to the effective experimental behaviour of shear-thinning fluids, we adopt the three-parameter Ellis model, which has been extensively and successfully applied to describe the flow in complex geometries (Al-Behadili et al 2019;Ali et al 2019;Celli, Barletta & Brandão 2021;Ciriello et al 2021;Picchi et al 2021). The Ellis model relates the apparent viscosity to the stress tensor as…”

Section: The Ellis Model For the Inner Ascending Currentmentioning

confidence: 99%

Ascending non-Newtonian long drops in vertical tubes

et al. 2022

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We report on theoretical and experimental studies describing the buoyancy-driven ascent of a Taylor long drop in a circular vertical pipe where the descending fluid is Newtonian, and the ascending fluid is non-Newtonian yield shear thinning and described by the three-parameter Herschel–Bulkley model, including the Ostwald–de Waele model as a special case for zero yield. Results for the Ellis model are included to provide a more realistic description of purely shear-thinning behaviour. In all cases, lubrication theory allows us to obtain the velocity profiles and the corresponding integral variables in closed form, for lock-exchange flow with a zero net flow rate. The energy balance allows us to derive the asymptotic radius of the inner current, corresponding to a stable node of the differential equation describing the time evolution of the core radius. We carried out a series of experiments measuring the rheological properties of the fluids, the speed and the radius of the ascending long drop. For some tests, we measured the velocity profile with the ultrasound velocimetry technique. The measured radius of the ascending current compares fairly well with the asymptotic radius as derived through the energy balance, and the measured ascent speed shows a good agreement with the theoretical model. The measured velocity profiles also agree with their theoretical counterparts. We have also developed dynamic similarity conditions to establish whether laboratory physical models, limited by the availability of real fluids with defined rheological characteristics, can be representative of real phenomena on a large scale, such as exchanges in volcanic conduits. Appendix B contains scaling rules for the approximated dynamic similarity of the physical process analysed; these rules serve as a guide for the design of experiments reproducing real phenomena.

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Section: The Ellis Model For the Inner Ascending Currentmentioning

confidence: 99%

Ascending non-Newtonian long drops in vertical tubes

et al. 2022

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“…In addition to the early contributions by Garagash [7], followed by several others (see the review by Osiptov [3]), we also mention other contributions [8][9][10][11], in which the fluids modelled with power-law or Ellis rheology, flow in fractures with a plane or radial symmetry. It is a fact of evidence that many fluids do not meet the wall adhesion condition and are subject to slip; see Neto et al [12] for a review of the experimental studies, and Lauda et al [13] for a review of the theoretical approaches.…”

Section: Introductionmentioning

confidence: 97%

Backflow Dynamics of Newtonian Fluids in an Elastic Fracture with Slip Walls

Zeighami

Lenci

Longo

et al. 2022

EWaS5 International Conference: &Amp;ldquo;Water Security and Safety Management: Emerging Threats or New Challenges? Moving Fro

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“…The comprehension of the hydraulic, mechanical, and chemical behaviors of fluids in geological formations is fundamental to the success of subsurface techniques aimed at a variety of applications: resources recovery (Ciriello et al, 2021;Suleimanov et al, 2011), geothermal exploitation (Sanner et al, 2003), carbon sequestration (Leung et al, 2014), and soil reclamation (Mulligan et al, 2001). The decreasing prospects of new oil reservoir discoveries are stimulating companies to invest in unconventional reservoir exploitation (Sheng et al, 2019) and enhanced oil recovery (EOR) to maximize the recovery factor of mature oilfields (Muggeridge et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

A Lubrication‐Based Solver for Shear‐Thinning Flow in Rough Fractures

Lenci

Putti

Federico

et al. 2022

Water Resources Research

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The decreasing prospects of new oil reservoir discoveries are stimulating companies to invest in unconventional reservoir exploitation (Sheng et al., 2019) and enhanced oil recovery (EOR) to maximize the recovery factor of mature oilfields (Muggeridge et al., 2014). Reservoir stimulation via hydraulic fracturing is a well-established approach to increase formation permeability, which allows extending existing reserves. In unconventional reservoirs, where the pore space is poorly connected, induced stimulation permits the production of oil and gas from formations of low permeability (e.g., shale) (Curtis, 2002), reactivating natural fractures (Gale et al., 2014), and generating new ones (Cipolla et al., 2010). Induced stimulation is also utilized in enhanced geothermal systems (EGS), which constitutes an innovative power system (Lu, 2018): they involve the injection of fluids in artificially fractured hot rocks to exploit an abundant renewable heat source. CO 2 -based EGS (Aminu et al., 2017) or CO 2 -EOR (Dowell et al., 2017) in fractured geological formations has also been proposed to offset the costs of the subsurface storage of CO 2 , which is currently considered a viable approach to reduce anthropogenic CO 2 emissions, responsible for two thirds of the increased greenhouse effects (Leung et al., 2014).These applications have led in the last 10 years to renewed scientific interest for flow in subsurface porous media, in particular, fractured porous media. In igneous rocks in particular, and more generally in low-permeability formations, fractures provide preferential pathways of high conductance with respect to the almost impervious rock matrix. The fractures are organized in connected networks (Bonnet et al., 2001), and the overall hydraulic behavior of the medium subjected to Newtonian flow is mainly governed by their connectivity (Bour & Davy, 1998) and by the distribution of fracture permeabilities throughout the network (de Dreuzy et al., 2002).

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Relaxation-induced flow in a smooth fracture for Ellis rheology

Cited by 12 publications

References 32 publications

Ascending non-Newtonian long drops in vertical tubes

Ascending non-Newtonian long drops in vertical tubes

Backflow Dynamics of Newtonian Fluids in an Elastic Fracture with Slip Walls

A Lubrication‐Based Solver for Shear‐Thinning Flow in Rough Fractures

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