922 KB53 KB199920252023Zerihun, Yebegaeshet T.letnik:36številka:65str. 95-109ISSN:0352-3551DOI:10.15292/acta.hydro.2023.06COBISSID_HOST:209981187URN:URN:NBN:SI:doc-00YIUBUTenFakulteta za gradbeništvo in geodezijoActa hydrotechnicaartificial cutgladina podzemne vodenehidrostatsko precejanjenon-hydrostatic groundwater flowodtokphreatic surfaceprecejanje pri prosti gladiniseepage dischargeseepage-face heightunconfined seepage flowvišina vode na precejnem robuvkopTwo-dimensional unconfined seepage flow toward a highway cut slope| Dvodimenzionalni tok podzemne vode s prosto gladino proti avtocestnemu vkopu|The unconfined gravity-flow system near a free-outflow boundary such as a highway cut slope was investigated by using a higher-order numerical model. Unlike the Dupuit–Forchheimer equation, which is applicable mainly to a hydraulic flow problem, the proposed model accounts for the effects of the vertical component of the flow for a full treatment of the problem of plane phreatic flow. The model equations were numerically solved by means of a finite-difference scheme. Their accuracy was then verified using the solutions of the full two-dimensional potential-flow method and rigorous mathematical approaches, revealing that for a face slope flatter than 70o, the differences between the solutions of the model and the earlier approaches for the relative seepage-face height were nearly negligible. The comparison results also demonstrated the substantial effects of the slope of the downstream face on this height and the seepage discharge. Furthermore, the accuracies of the model predictions for the phreatic-surface profile and the distributions of the piezometric head at different vertical sections are much better than the earlier method, which approximates the trapezoidal-shaped aquifer by its equivalent rectangular one. Such a satisfactory performance may be attributed to the model’s higher-order correction factor for the effects of the phreaticsurface curvature and steep slopeZ numeričnim modelom višjega reda je bil raziskan gravitacijski tok pri prosti gladini v bližini meje prostega odtoka, kot je na primer vkop avtoceste. Za razliko od Dupuit–Forchheimerjeve enačbe, ki se uporablja predvsem za hidravlični tok, predlagani model upošteva vplive vertikalne komponente toka za celovito obravnavo problema ravninskega toka vode pri prosti gladini. Enačbe modela toka so bile numerično rešene s pomočjo diferenčne sheme. Natančnost rešitve je bila preverjena ob upoštevanju dvodimenzionalnega toka in s strogimi matematičnimi pristopi. Za naklone vkopa, ki je položnejši od 70o, so razlike v višini vode na precejnem robu med rešitvami tega modela in prejšnjimi pristopi skoraj zanemarljive. Primerjava rezultatov je prav tako pokazala na znatne vplive naklona vkopa na višino vode na precejnem robu in odtok. Poleg tega je natančnost modelne napovedi za potek gladine podzemne vode in porazdelitev hidravličnih višin na različnih navpičnih odsekih veliko boljša od prejšnje metode, ki vodonosnik trapezne oblike upošteva kot ekvivalentni pravokotni vodonosnik. Zadovoljivo rešitev je možno pripisati modelnemu korekcijskemu faktorju višjega reda za učinke ukrivljenosti gladine podzemne vode in strmega pobočjaTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza v Ljubljani, Fakulteta za gradbeništvo in geodezijo