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dc.contributor.authorZhong, Zhen
dc.contributor.authorWang, Lei
dc.contributor.authorSong, Leibo
dc.contributor.authorGao, Chao
dc.contributor.authorHu, Yunjin
dc.contributor.authorGao, Huicai
dc.contributor.authorSong, Fei
dc.contributor.authorRodríguez Dono, Alfonso
dc.contributor.authorLou, Rong
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Enginyeria del Terreny
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationZhong, Z. [et al.]. Size effect on the hydraulic behavior of fluid flow through a single rough-walled fracture. "Soil dynamics and earthquake engineering", Abril 2021, vol. 143, p. 106615:1-106615:10.
dc.description.abstractThis study provides a numerical approach to evaluate the effect of sample sizes on fluid flow through a single rough-walled fracture. The rough-walled fracture was generated by using mathematical statistics. Its aperture follows a normal distribution along a large-size plane of dimensions 20 m × 20 m, and from this large-size fracture plane, a series of fractures with different sizes were extracted. Then, a two-dimensional (2D) Reynolds equation was solved to simulate fluid flow through these rough-walled fractures with different mean fracture apertures and roughness. The impact of normal stress on the hydraulic properties was introduced by using a hyperbolic function. The simulated results show a positive correlation between hydraulic conductivity and fracture sizes. In fact, hydraulic conductivity of the fluid flow through a single rough-walled fracture increases with the increment of the fracture size until a given size from which it stays constant. The hydraulic conductivity for this given size can then be considered as a representative of that in larger sample sizes. This given size resulted to range from 12 m to 16 m, due to the variations in mean fracture apertures, roughness and normal stress. In addition, it was also found that this representative size tends to decrease with an increase in the mean fracture apertures, while tends to increase as the fracture roughness or the normal stress increases, since those variables affect the fracture topology and contact areas, which play an important role in controlling the tortuosity and connectivity of fluid flow through a rough fracture.
dc.description.sponsorshipThis work was funded by National Natural Science Foundation of China (grant numbers 51509154, 41977256, 41907167, 42002275), Natural Science Foundation of Zhejiang Province (grant number LGJ20E090001, LQ21D020001), International Scientific and Technological Cooperation Projects of Shaoxing University (grant number 2019LGGH1008). All the supports are gratefully acknowledged.
dc.rights© 2019. Elsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshFluid dynamics--Mathematical models
dc.subject.otherSize effect
dc.subject.otherFluid flow
dc.subject.otherReynolds equation
dc.subject.otherA rough-walled fracture
dc.subject.otherRepresentative size
dc.titleSize effect on the hydraulic behavior of fluid flow through a single rough-walled fracture
dc.subject.lemacDinàmica de fluids -- Càlcul numèric
dc.contributor.groupUniversitat Politècnica de Catalunya. MSR - Mecànica del Sòls i de les Roques
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
local.citation.authorZhong, Z.; Wang, L.; Song, L.; Gao, C.; Hu, Y.; Gao, H.; Song, F.; Rodriguez-Dono, A.; Lou, R.
local.citation.publicationNameSoil dynamics and earthquake engineering

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