Hidrológiai Közlöny 1960 (40. évfolyam)
1. szám - Öllős Géza: Inhomogén talajok hatása a kutak vízhozamára
46 Hidrológiai • Közlöny 1960. 1. sz. öllős G.: Inhomogén talajok hatása a kutak vízhozamara KOMY HanpaBJieHino, TAN KAK npoeKTiipoBaHiie H SKCIIJIOaTaiXHH) COOTBCTCTBGHHO BCeM TpeÖOBaHIIÍIM MOTFCHO BecTii KaK pa3 Ha OCHOBaHIIH 3HaHHü h yqeTa AeiícTBHTenbHoro pe>KHMa <j)MJibTpaunn. Flocjie K^ACCN({)HKAMIN BOAOHOCHHX rpyHTOB c TOMKH 3peHHÍI (J)HJIbTpaUHÍI B CTaTbe PACCMATPHBAIOTCFL OCHOBHbie 3aK0HbI (J)HJTbTpaUHII no HeOAHOpOflHOMy rpyHTy, 3ATEM cJiararomne ({(HJIBTPAUHOHHOÍÍ CKOpoera [ypaBHeHiie (1)], 33KOH pa3jioMa JIHHMÍÍ TOI<a Ha rpaHime CJIOÍI [ypaBHCHHe (2)], HenpepbiBHbiií xapaicTep pacnpeAejiemiH flaBJieHHH [ypaBHCHiie (3)]. OHJibTpanim no HE0FLH0P0/IH0MY rpyHTy MO>Ker SBITB BBIBE^EHA H3 KOS(})imHeHTOB (JIIIJIBTPAUHH [ypaBHeHHe (4) flachler B.], ecjin (})HJibTpann>i HBJIÍICTOI aHM30TponHon, napajuiejibHOÍÍ M NEPNCH/LHKYJIHPHOH C rpaHUMHblMIl njIOCKOCTHMIl CJioeB. HecMOTpn Ha TO, HTO STO ypaBHCHiie CTporo roBOpfl fleiíCTBHTejIbHO TOJlbKO FLJIH CJIOeB HeÖOJlblllOÍÍ MOmHOCTH, BCeTaKH MO>KHO CfleJiaTb BblBOfl no HeMy H flJIH CJIYQAN KOJIOAHCB, HMCHHO, HTO xapaKTep (JiHjibTpaaHH OCTAETCH AHH30TP0NHBIM H B TOM CJiynae, ecjni JIHHHHMH TOKa NEPECEKAIOTCH rpaHiiHHbie IIJIOCKO'CTH CJioeB (0uz. 2). B flaJTbHefímeM Ha ocHOBaHHH onbiTHbix BapnaHTOB, n3o6pa>KeHHbix Ha (pueype 3., aBTopoM AaioTCíi MHCJIGHHbie aaHHbie AJIFL KOHTPOJIÍI 3ai<0Ha ^HJibTpauHH, nepneHflHKyjlíipHOH (k MHH) K rpaHHHHbTM njlOCKOCTHM CJioeB (@ue. 4. H 5). MO>KHO ycTaHOBHTb, HTO ypaBHemieM (7) B ÍIEHCTBHTEJIBHOCTH XAPAKTEPM3YIOTCH IIBE30METPNHECKHÍI yKJIOH (Ahi), B03HHKai0mHIÍCfl B OT^ejlbHblX CJIOFLX, 3T0 KOHEHHO MO>KHO SblJIO H 0>KHflaTb : T. e. nbe30MeTpHHecKHft yKJiOH OTflenbHbix CJioeB pacnpeAeJiíieTca riponopuHOHajibHO (JiHJibTpauHOHHOMy conpoTHBjieHwo (e). XapaKmepHbie c/iynau 0uAbmpaifuu eonpyz KOAodya, uccAedoeaHHbie aBTopoM noKasaHbi Ha tpue. 6. OAHOPOAHUM rpyHTOM flaioTca OCHOBHbie aaHHbie (eapuaHm A.), aeíícTBHe CJioeB, cjiararomnxcH H3 öojiee KpvnH03epHiiCTOTO rpyHTa NOKA3BIBAETCH Ha eapuaHmax B H C, fleiícTBiie rjiHHHC TMX CJioeB noKa3aHo Ha eapuaHmax D H E, II fleííCTBIie rjlllHIICTblX J1HH3 liplIBOAHTCJl Ha eapuanme F. OnncaHiie ceKTopHon MOflejiH, ncnojib30BaHHOií HaMH, AABAJIOCB B NPEABIFLYIUNX Haunix CTATBEIÍ ]5] u [7]. Ha (pomo 1. H30§pa>KaeTcsi HOBbiií Tiin MoaejibHoro KOJiOAHa, BBeAeHHoro aBTopoM .(ii3MepiiTejibHbiii cnocoö), c noMoinbio K0T0p0r0 MO>KHO onpeAejiHTb pecnpeAeJiemie pacxoAa II cxopocTii no BbicoTe CTÉHKIÍ KOJiOAna. Áah conocmaeAeHUH öenpeccuoHHbix Kpuebix AAETCJI oöman KapraHa HA <puz. 9. Ha Heft MO>KHO BIIAETB, HTO CTpoeHiiew rpyHTa xapaiorep AenpecciiOHHbix KPHBHX npil COCTOÍIHHH yCTaHOBIIBUierOCH ABHJKCHIIJI He H3MEHHETCA B onwcaHHbix CJIYNAFLX. ORAOCHTEJIBHO OAHOpOAHblX rpyHTOB HaHŐOJlbUJIie OTKJlOHeHlIÍI BbI3bIBaiOTCJI rjiHHHCTbiMH cjiOHMii (eapuaHmbi D, E, [5]). OrriHOCumeAbHO paípbiea eopu30Hma eodbi enympu cmeHKu (hb) u 6He ee (hk) aBTopoM ÖMJIO AonojiHeHo ypaBHeHiie R. Ehrenberger sypaBHCHiie (9):, OTHOcnmeeen K opíiniHajibno OAHOPOAHBIM rpyHTaM, Ha ypaBHCHiie npii BEAEHHOE ABTOPOM (10). Kai< B STOM YPABHEHHH, TAK n B ypaBHeHiin P. Ball [ypaBHeHHe (11)] He ymiTbiBAETCH BJIMIHHE K03(])NNHEHTA (J)iijibTpauiiH. IIpoueccpa3pbiBa B HeoAHopoAHOM rpym'e noKa3biBaeTCH Ha <puz. 12. ÍIjih npiiöjiHweHHoro pacieTa AeSiiTa KOJiOAna Ha OCHOBaHHH KOHTpOJia KpHBblX paCXOAOB (0Ue. 13 H 14) aBTopoM peKOMeHAyeTCH ypaBHeHHe (14) B cjiyiae (JiiijibTpamni aHH30TpoiiHoro xapai<Tepa. HacieT BEJIHMIIHBI KoaifiuifueHma (puAbmpaiiuu cymecTByioT HecKOjibKO B3rjiHA0B. B CTaTbe n0AP06H0 pacCMOTpHBaeTCa BOnpOC, KaK Hy>KHO paCTOJlKOBaTb K03(j)HUMCHT (JlHJIbTpaiíHH B CJiyMae HeOAHOpOAHblX rpyHTOB. B STOM CJIYMAE B 3aBHCHM0CTii OT H3MCHCHHH BHCIUHHX H BHyTpeHHHX rpaHHIHblX yCJIOBHÍÍ, AaHHblX B CHCTeMe ({)HJIbTpaUHH AJIH K03(J)HUHeHTa (})HJIbTpaUHH, MOWHO roBopiiTb TOJlbKO o BejiHHiiHe paBHOfteíScTByiomeö, npnHaAJie>KameH K AaHHOMy COCTOHHIIIO. CTeneHb w 3aK0H0MepHocTb H3MCHeHHH noi<a3aHbi B maŐAUife 1. K03(J)HHHeHT (jlHJlbTpaUHH nOBHAHMOMy H3MeH5ieTCH ii3-3a Toro, MTO — IOK Ha STO YKA3AJI K. YőeAA [19,20] —• BOAa H3 CBOÖOAHOÍÍ nOpllCTOCTH rpyHTa BHyTpil BOpOHKH nonaAaeT B 30Hy (JtHJibTpauin-i, T. e. B HHWCHIOIO 30Hy c 3ana3AbiBaHiieM, TOJlbKO nocjie Aenpeccim. Bo emopoü maóAuife AaeTca A0Ka3aTejibCTB0 MOfleJinpoBaHHeM H3Mehchhíi MHHMoro KosijinuneHTa ,,K", nponcxoAamerocíi H3 3ano3AaAoro pacxoAa boaw. 3to othochtch k oahopoaHblM rpyHTaM II K pa3HbIM M0IHH0CTHM H BOAHHblX CJioeB. HaKOHeu b CTaTbe pacciwaTpiiBaioTCH HecKOjibKO xapai<TepHbix cjiyiaeB paenpeAeAeHiiH ckopocth no bhC0Te CTeHKH KOJTOAUa ($nr. 16, 17. w 18). B CBH3M c 3thmh (jmrypaMH aBTop CHOBa yKa3HBaeT Ha BawHOCTb yieTa Ae6nTa, nojiyHeHHoro H3 KannjuiapHOíí noAocbi, Aajiee Ha to, ito HeoAHopoAHbiMH rpym'aMH KaKoe bahHHHe 0Ka3bIBaeTCH Ha BOAOHOCHOCTb KanilJIJlHpHblX nojioc. Tlic Effect of Inhomogeneous Soils on Well Discharge By G. Ollós Water bearing soils being in generál of inliogogeneous stratigraphical structure, inereased efforts to extend investigations of well hydraulics in this field appear thorouglily warranted, since the proper design and correct operation of wells can be attained by appreciating and recognizing these practically encountered percolation phenomena. Water bearing soils are classified on the basis of their percolation properties. Fundamental laws governing percolation in inhomogeneous soils, velocity components of percolating flow [Eq. (1)1, the law governing discontinuities in flow filaments at boundaries between two layers [Eq. (2)], and the continuity of pressure distributions [Eq. (3)] are discussed subsequently. Percolation in inhomogeneous soils—provided percolation is anisotropic — can be developed from percolation factors parallel and perpendicular to the planes bounding various layers [i?. Dachler, Eq. (4)]. Althoúgh this equation holds tone in the case of layers of small thickness, the conclusion can be arrived at therefrom alsó for the case of wells, that the character of percolation remains anisotropic, regardless of the fact that the paths of percolation intersect sliglitly the boundary planes (Fig. 2). Based on experiments arranged according to Fig. 3, numerical data are given (Figs. 4 and 5) for controlling the relationships governing percolation perpendicular to the boundary planes ffcmin). It can be established — as could naturally be expected —that Eq. (7) is truly representative of. the pressure <lrop occuring over individual layers (Ahi), i. e., the pressure drop in individual layers is distributed proportionately to percolation resistances (e). Characteristic cases investigated by theautlior of percolation around wells are shown in Fig. 6. Fundamental data are obtained from the liomogeneous soil (altemative A), effects of coarse-grained soils are illustrated by alternatives B and C, those of clay layers by alternatives D and E and finally those of clay lenses by altemative F. The sector model used for these experiments has been deseribed in previous papers already [5, 7], The arrangement (measuring method) of the new model well introduced by the autlior, by which the distribution of discharge and velocity along the well mantle can be determined, is shown in Fig. 1. For comparing drawdown curves a comprehensive picture is presented in Fig. 9. It will be perceived therefrom, that the shape characteristics of drawdown curves pertaining to steady conditions, are unaffected by soil structure. Related to homogeneous soil, the greatest deviation is caused. by clay layers (altemative D, E, [5]). In order to deseribe the departure of the water level within the well (hb) from the one outside (hk), the originál equation relating to homogeneous soil of R. Ehrenberger [Eq. (9)] has been modified by the author [Eq. (10)]. Neither this equation, nor that of P. Hall [Eq. (ll)j includes the effect of the percolation coefficient. The process of departure in inhomogeneous soil is shown in Fig. 12. For approximately computing the well discharge in the case of percolation having an anisotropic character Eq. (14) based on the checking of drawdown curves (Figs. 13 and 14) is suggested.