.

Фільтраційні процеси навколо дрен і зволожувачів і їх вплив на водоприймальну здатність конструкцій: Автореф. дис… канд. техн. наук / А.П. Іващенко,

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141 1977
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??AIAINUeEEE AeA?AEAAIEE OAOI?*IEE

OI?AA?NEOAO

?aauaiei Aeea Iaae?aia

OAeE 626.862.3:532.001

O?EUeO?AOe?EI? I?IOeANE IAAEIEI Ae?AI ? CAIEIAEOAA*?A

? ?O AIEEA IA AIAeII?EEIAEUeIO CAeAOI?NOUe EIINO?OEOe?E

Niaoe?aeuei?noue 05.23.16 – A?ae?aae?ea oa ?iaeaia?ia a?ae?ieia?y

Aaoi?aoa?ao aeena?oaoe??

ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe

??aia – 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a ??aiainueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?
(eieeoiy Oe?a?inueea aea?aeaaia aeaaeai?y aiaeiiai ainiiaea?noaa)
I?i?noa?noaa ina?oe Oe?a?ie.

Iaoeiaee ea??aiee: Oeaioe Ieeiea Ieeieaeiae/, eaiaeeaeao oaoi?/ieo iaoe,
aeioeaio, aeieoi?aio eaoaae?e a?ae?ioaoi?/ieo nii?oae ??aiainueeee
aea?aeaaiee oaoi?/iee oi?aa?neoao,

Io?oe?ei? iiiiaioe: Ie?eiee Ieaenaiae? sseiae/, aeieoi? oaoi?/ieo iaoe,
i?ioani?, /eai.-ei?. IAI Oe?a?ie, caa?aeoth/ee a?aeae?eii i?eeeaaeii?
a?ae?iaeeiai?ee ?inoeoooo a?ae?iiaoai?ee IAI Oe?a?ie

/a?aieia aiae??e aaneeueiae/, eaiaeeaeao oaoi?/ieo iaoe, aeioeaio
eaoaae?e a?ae?iiae?i?aoe?e ??aiainueeiai aea?aeaaiiai oaoi?/iiai
oi?aa?neoaoo

I?ia?aeia onoaiiaa: eaoaae?a iino?a ? ooiae?a Oe?a?inueeiai
o?ainii?oiiai oi?aa?neoaoo I?i?noa?noai ina?oe Oe?a?ie, i.Ee?a

Caoeno a?aeaoaeaoueny ” 2 ” /a?aiy 1999 ?. i
14 aiaeei? ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 47.104.01
i?e ??aiainueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao? ca aae?anith:
266000, i. ??aia, aoe. Niai?ia, 11

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? ??aiainueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo ca aae?anith: i. ??aia, aoe.
I?eoiaeueea, 75

Aaoi?aoa?ao ?ic?neaiee ” 30 ” ea?oiy 1999 ?ieo

O/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee
Aino??eia A. I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. A ii?enoeo na?aaeiaeuao i?ae ae??th nee c aieo
o?eueo?aoe?eiiai iioieo a?aeaoaathoueny aeaoi?iaoe??, ye? cia/ii
iia??oothoue a?ae?aae?/iee ?aaeei a?ae?ioaoi?/ieo nii?oae. A iaea?eueo
neeaaeieo oiiaao ciaoiaeyoueny aiaeicaa??i? naa?aeeiaeie, ae?aiaaei?
ono?i? a a?ae?ioaoi?/ieo nii?oaeao, iae?i?aoeaiee ae?aiaae. Aeaoi?iaoe??
a?oioiaiai na?aaeiaeua i?ecaiaeyoue aei eieaeueieo ci?i eiai
eiao?oe??ioa o?eueo?aoe?? oa ci?iththoue a?ae?aae?/i? oa?aeoa?enoeee
iioieo. O?eueo?aoe?ei? aeaoi?iaoe?? a a?eueoino? aeiaaee?a ? iniiaiith
i?e/eiith ?oeioaaiiy a?oioiaeo a?aaaeue. Aeaoi?iaoe?? a?oioiaiai
na?aaeiaeua a cii? aeaoooaaiiy aiaeicaa??ieo naa?aeeiaei iiaeooue
i?ecaiaeeoe aei ca?eueoaiiy i?eieeao oa cieaeaiiy ??aiy a?oioiaeo aiae
(?AA), ui iaoiiaeth? i?in?aeaiiy a?oioo oa aeo?ae c eaaeo ianiniiai
iaeaaeiaiiy. Oae ?c-ca nooic?eieo i?ioean?a i?eieea aei ae?aiaaeo
inoooaaeueii-caieiaeoaaeueieo nenoai (ICN) cia/ii ciaioo?oueny,
ca?eueoothoueny a?ae?aae?/i? a?aae??ioe, ui a ie?aieo aeiaaeeao
i?ecaiaeeoue aei aeoiaeo eiino?oeoe?e c eaaeo. C ?ioiai aieo iiaeeeaa
eieaeueia ca?eueoaiiy eiao?oe??ioa o?eueo?aoe?? a iaaeieiae?aii?e cii?,
?c-ca /iai ca?eueoo?oueny i?eieea oa ?ioaineai?noue iiieaeaiiy ?AA ?
ciaioothoueny a?ae?aae?/i? iii?e. Ioaea, i?iaeaia o?eueo?aoe?eieo
aeaoi?iaoe?e ii?enoiai na?aaeiaeua ? aaaeeeaith e aeooaeueiith. ?nioth/?
iaoiaee ?ic?aooieo iae?i?aoeaiiai ae?aiaaeo ia a?aoiaothoue oe?
i?ioeane.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa aeeiiaia
ca ieaiaie iaoeiai-aeine?aeieo ?ia?o ??aiainueeiai aea?aeaaiiai
oaoi?/iiai oi?aa?neoaoo, ui ?ic?iaeyeenue ca ainiaeiaia??iith oa
aea?aeathaeaeaoiith oaiaoeeaie a?aeiia?aeii aei eiiieaenieo aaeocaaeo
iaoeiaeo i?ia?ai c iae?i?aoe?? oa n?euenueeiai ainiiaea?noaa.

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoeiaa iaa?oiooaaiiy oa ?ic?iaea
iaoiaeeee ?ic?aooieo ai?eciioaeueiiai o?oa/anoiai ae?aiaaeo a
na?aaeiaeuao, ui aeaoi?iothoueny, ? yeee i?aoeth? a a?ae?aae?/iiio
?aaeei? aeainoi?iiueiai ?aaoethaaiiy ?AA.

A caaea/o aeine?aeaeaiue aoiaeeei:

Aiae?c ? ioe?iea aieeao ??cieo o?eueo?aoe?eieo ? a?ae?aae?/ieo i?ioean?a
a na?aaeiaeuao, ui aeaoi?iothoueny, ia ?iaioo ae?aiaaeieo eiino?oeoe?e.

Anoaiiaeaiiy caeiiii??iino? oa?aeoa?o ci?ie eiao?oe??ioa o?eueo?aoe?? a
ianooic?eiiio oa nooic?eiiio a?oio? e iaa?oiooaaiiy, a ca’yceo c oeei,
iiaeeeaeo iiaeaeae o?eueo?aoe?eieo aeaoi?iaoe?e a iaaeieiae?aii?e cii?.

?ic?iaea ?aeiiaiaeaoe?e ii ?ic?aooieo ae?aiaaeo c o?aooaaiiyi
o?eueo?aoe?eieo aeaoi?iaoe?e a iaaeieiae?aii?e cii?.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. Ia iniia? aeeiiaieo
aenia?eiaioaeueieo ? oai?aoe/ieo aeine?aeaeaiue anoaiiaeaiee oa?aeoa?
ci?ie eiao?oe??ioa o?eueo?aoe?? a ianooic?eiiio oa nooic?eiiio
na?aaeiaeuao a iaaeieiae?aii?e cii? i?e ?iaio? ae?aiaaeieo eiino?oeoe?e
a a?ae?aae?/ieo ?aaeeiao inooaiiy ? caieiaeaiiy. Ia iniia? oeueiai
iaa?oioiaai? iiaeae? aeaoi?iaoe?eieo i?ioean?a, ye? a?aeaoaathoueny i?e
o?eueo?aoe?? a iaaeieiae?aii?e iaeano? i?e ?iaio? ae?aiaaeieo nenoai a
?aaeeiao inooaiiy ? caieiaeaiiy a ianooic?eiiio oa nooic?eiiio a?oioao,
io?eiai? caeaaeiino? aeey aecia/aiiy a?ae?aae?/ieo iaii??a a iaeano?
o?eueo?aoe?? oa ieoiieo aeo?ao.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Ca ?acoeueoaoaie aeeiiaieo
aeine?aeaeaiue ?ic?iaeai? i?aeoe/i? ?aeiiaiaeaoe?? ii aecia/aiith
o?eueo?aoe?eieo iii??a ae?aiaaeo i?e ?iaio? eiai a na?aaeiaeuao, ui
aeaoi?iothoueny, ye? aeei?enoai? i?e aoae?aieoeoa? oa a iaoeiaiio
aenia?eiaio? ia iiaeoe? aeine?aeii-ae?iaie/i? aaoiiaoeciaaii? ICN, yea
?icoaoiaaia a n. Eai’yieoey Aeoai?anueeiai ?aeiio ??aiainueei? iaeano?.

Iniaenoee aianie caeiaoaa/a iieyaa? a:

i?aeaioiaoe? oa i?iaaaeaii? aenia?eiaioaeueieo aeine?aeaeaiue ia
aiaeiaiaeo iiaeaeyo, ia?iaoe?, aiae?c? oa ocaaaeueiaii? ?o ?acoeueoao?a;

anoaiiaeaii? oa?aeoa?o ci?ie eiao?oe??ioa o?eueo?aoe?? a ianooic?eiiio
oa nooic?eiiio na?aaeiaeuao;

i?iaaaeaii? oai?aoe/ieo aeine?aeaeaiue c iaoith io?eiaiiy caeaaeiinoae
aeey aecia/aiiy o?eueo?aoe?eieo iii??a o?oa/anoiai ae?aiaaeo, yeee
i?aoeth? a aeainoi?iiueiio ?aaeei? ?aaoethaaiiy ?AA a na?aaeiaeuao, ui
aeaoi?iothoueny;

?ic?iaoe? ?iaeaia?ieo iaoiae?a ?ic?aooieo iae?i?aoeaiiai ae?aiaaeo c
o?aooaaiiyi aeaoi?iaoe?e na?aaeiaeua a iaaeieiae?aii?e cii?.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Ie?ai? iieiaeaiiy ?iaioe
aeiiia?aeaeenue ia iaoeiai- oaoii/ieo eiioa?aioeiyo ?iciiai ?iaiy
(??aia, 1994 – 1998) oa aacothoueny ia 11-e iaoeiaeo i?aoeyo; ia
?icoe?aiiiio can?aeaiiy eaoaae?e a?ae?ioaoi?/ieo nii?oae Oe?a?inueei?
aea?aeaaii? aeaaeai?? aiaeiiai ainiiaea?noaa (i. ??aia, 1998);
aiaeia?aaeaii a caioao iaoeiai-aeineiaeieo ?iaio.

Ioae?eaoe??. Ii oai? aeena?oaoe?? iioae?eiaaii 8 noaoae, a oiio /ene?:
a iaoeiaeo aeo?iaeao – 3, a ca??ieeao iaoeiaeo i?aoeue – 3, a iaoa??aeao
eiioa?aioe?e – 2, oa oac eiioa?aioe?e – 3.

No?oeoo?a oa ia’?i aeena?oaoe?eii? ?iaioe. ?iaioa neeaaea?oueny c
anooio, i’yoe ?icae?e?a, aeniiae?a, nieneo aeei?enoaieo aeaea?ae ?c 122
iaeiaioaaiue ? aeiaeaoe?a. Caaaeueiee ianya ?iaioe neeaaea? 132
noi??iie, a oiio /ene? 41 oaaeeoey ? 38 ?enoie?a.

INIIAIEE CI?NO

O anooi? iaa?oioiaaia aeooaeuei?noue oaie, coi?ioeueiaaia iaoa
aeine?aeaeaiue, aeaia caaaeueia oa?aeoa?enoeea ?iaioe.

A ia?oiio ?icae?e? “Noai aea/aiiy ieoaiiy. Caaea/? aeine?aeaeaiue”
aeaco?oueny ia iaaaoeaiee aieea aeaoi?iaoeaieo i?ioean?a a a?oio?, ui
aeieeathoue i?ae ae??th a?ae?iaeeiai?/ii? neee, ia ?iaioo
a?ae?ioaoi?/ieo ? iae?i?aoeaieo nii?oae. Ine?eueee iaea?eueoiai
iioe?aiiy a Oe?a?i? io?eiaee ICN, oiio aea/aiiy o?eueo?aoe?eieo
aeaoi?iaoe?e iaaeiei ae?ai ? caieiaeoaa/?a ia? aaeeea cia/aiiy aeey
i?iaeooaaiiy oa caaacia/aiiy ii?iaeueieo oiia ?o aenieoaoaoe??.
Iaae?ei?noue ?iaioe oeeo nenoai a cia/i?e i??? caeaaeeoue a?ae
i?aaeeueiino? o?eueo?aoe?eiiai ?ic?aooieo ae?aiaaeo, aecia/aiiy
a?ae?aae?/ieo iii??a aaciina?aaeiuei a ae?aiaae? ?, iniaeeai, a
iaaeieiae?aiiiio na?aaeiaeu?, oae caaieo o?eueo?aoe?eieo iii??a, ye? a
iniiaiiio ?icaeyaeathoueny a ?iaio?.

Oai??th ae?aiaaeo oa iaoiaee o?eueo?aoe?eieo ?ic?aooie?a ?icaeaaee
N.O.Aaa?’yiia, A.Ae.A?oaeanoia, ?.Aaaaeueniai, A.A.?aeoeueeee,
A.A.?iiao, Ae.E??eaai I.I.Einoyeia, A.?.Io?aoei, I.ss.Ie?eiee,
I.A.Ieaiaa?, A.E.Iieyeia A.N.Onaiei, A.*aeeaen, A.I.ssiaieue oa ?io?.

Aeey ?ic?aooieo ae?aiaaeo oe?iea ?iciianthaeaeaiiy io?eiaa iaoiae
o?eueo?aoe?eieo iii??a. Aaeeeee aianie a ?icaeoie oeueiai iaoiaeo
c?iaeee N.O.Aaa?’yiia, I.I.Aa?ea?i, E.A?ino, Ae.E??eaai, I. Ianeaiae,
A.?.Io?aoei, N.I.Ioia?ia, I.ss.Ie?eiee, I.A.Ieaiaa?, N.Ooaoaoae,
A.I.Oanoaeia oa ?io?. Iaeiae, aieea aeaoi?iaoe?e a?oioo ia ?iaioo
ae?aiaaeo oa o?eueo?a ia a?aoiaoaaany, a naia a?i iiaea aooe
aecia/aeueiei aeey ?iaioe ae?ai a oe?eiio. Aeaoi?iaoeaiei i?ioeanai, ye?
aeieeathoue o a?oio? i?ae ae??th o?eueo?aoe?eii? neee, aaeeeo oaaao
i?eae?eyee ?.?.Caoa?a?ae, N.A.?caao, A.N.?noii?ia, A.I.Eiiae?aoue?a,
Ae.I.I?ioe, A.I.Iao?aoaa, A.O. I?aaaaeiee, I.?.O?enaiia, ?.?.*oaaaa oa
?io?. Iniiaiei oaeoi?ii, ui aieeaa? ia o?ae aeaoi?iaoeaieo i?ioean?a ?
a?ae?aae?/iee a?aae??io iaii?o. Ia iiaeeea?noue aeieeiaiiy cia/ieo
a?aae??io?a iaii?o a i?eae?aii?e cii? aeacoaaee A.?.Io?aoei, A.A.Iyneia,
I.?.O?enaiia oa ?io?.

Ia iniia? i?iaaaeaiiai aiae?co e?oa?aoo?ieo aeaea?ae c?iaeaiee aeniiaie
i?i cia/iee aieea ia aiaeii?eeiaeueio caeaoi?noue ae?ai aeaoi?iaoeaieo
i?ioean?a, ye? aeieeathoue a iaaeieiae?aii?e iaeano?. Iaeiae, ia
i?aeoeoe? oea a?aoiao?oueny a e?auiio aeiaaeeo oi?iaeueiei aecia/aiiyi
eiao?oe??ioa o?eueo?aoe?? caoeniiai iaoa??aeo. sseui ae inoooaaeueia
ae?y ae?aiaaeo ia iaaieo iaoiaee/ieo canaaeao aea/aeanue o aaaaoueio
iaoeiaeo oa ae?iaie/eo i?aai?caoe?yo, oi ?iaioa eiino?oeoe?e a ?aaeei?
caieiaeaiiy, a oei a?eueoa a oeeee?/iiio ?aaeei? (/a?aoaaiiy inooaiiy oa
caieiaeaiiy), ia aeine?aeaeaia.

A ae?oaiio ?icae?e? “Aenia?eiaioaeueia onoaiiaea. Aei??thaaeueia
aia?aoo?a. Iaoiaeeea aei?iaoaaiue ? ia?iaee ?acoeueoao?a” aeaco?oueny,
ui aeine?aeaeaiiy i?iaiaeeeenue a eaai?aoi?ieo oiiaao ia o?ce/ieo
iiaeaeyo.

A aenia?eiaioaeuei?e onoaiiaoe? aiaea c iai??iiai aaeo iaaeoiaeeea aei
o?eueo?aoe?eii? iiaeae?, c yei? neeaeaeanue a ceeaiee aae, aiaea c
inoaiueiai ia?aea/oaaeanue iacaae a iai??iee ianinii. Eiino?oeoe?y
onoaiiaee caaacia/oaaea noae?noue iaii?o oa aeo?aoe aiaee, ui
iiaeaaaeanue ia iiaeaeue. A caeaaeiino? a?ae caaea/ aeine?aeaeaiue
canoiniaoaaeenue naeoi?iee eioie ? iai??ia onoaiiaea Aea?n?. Iai??
aei??thaany i’?ciiao?aie. Ia onoaiiaoe? a ianooic?eiiio a?oio?
aeine?aeaeoaaeanue ieco?aeia o?eueo?aoe?y. Ca aeiiiiiaith ia?anoaieo
aiaeiceeaieo aa/e?a anoaiiaethaaeenue o?eniaai? iaii?e. I?e
noaa?e?caoe?? iieac?a i’?ciiao??a aecia/aeanue aeo?aoa, aeae? iai??
ca?eueooaaany ? i?e onoaeaiiio ?aaeei? i?iaiaeeeenue aiaeia?/i?
aei??thaaiiy. I?ney aeinyaiaiiy iaeneiaeueiiai cia/aiiy a?aae??ioa,
inoaii? ciaiooaaeenue. Iaoiaeeea i?iaaaeaiiy aenia?eiaio?a ?c nooic?eiei
i?neii aiaeia?/ia ca aeeeth/aiiyi oiai, ui aeine?aeaeoaaeanue ieco?aeia
oa aeno?aeia o?eueo?aoe?y. I?ney aeinyaiaiiy iaeneiaeueiiai a?aae??ioa
oa i?iaaaeaiiy aei??thaaiue aeine?ae cae?i/oaaany. A eioeo iiaa?oiy
a?oioo oi?ioaaeanue ii eieo ?aae?onii R=65,6 ni. Ci?ia iaii??a
i?iaiaeeeanue a?ae iaioiai aei a?eueoiai. Oeeee 1 ii/eiaany ?aaeeiii
inooaiiy, i?ney yeiai ae?aia i?aoethaaea a caieiaeaii?, ii cae?i/aii?
inoaiueiai ?icii/eiaany ?aaeei inooaiiy oeeeeo 2. Iaii?e oa aeo?aoe
aei??thaaeenue c iiiaioo noaa?e?caoe?? inoaii?o. A aenia?eiaioao ?c
nooic?eiei i?neii iioa?iai aecia/aany a?aioeiiao?e/iee neeaae a?oioo.
Aei?iaoaaiiy i?iaiaeeeenue i?e 3-e?aoiiio aeoaethaaii? aeine?ae?a. I?e
ia?iaoe? aeine?aeaeaiue ? ia?aa??oe? aaeaeaaoiino? io?eiaieo
caeaaeiinoae canoiniaoaaeenue iaoiaee iaoaiaoe/ii? noaoenoeee.

A o?aoueiio ?icae?e? “Aenia?eiaioaeuei? aeine?aeaeaiiy o?eueo?aoe?? a
na?aaeiaeuao, ui aeaoi?iothoueny” i?aaenoaaeai? ?acoeueoaoe
aeine?aeaeaiue iaeiii??iiai oa ?aae?aeueiiai o?eueo?aoe?eieo iioie?a.
I?e aei?iaoaaiiyo aeei?enoiaoaaeenue ianooic?eiee ? nooic?eiee i?uai?
a?oioe, oa?aeoa?enoeee yeeo iaaaaeai? a oaae.1.

Oaaeeoey 1

Oa?aeoa?enoeee aeine?aeieo a?oio?a

A?aioeiiao?e/iee neeaae a?oio?a, %

d, ii 2-1,6 1,6-1 1-0,63 0,63-0,4 0,4-0,315 0,315-0,2 0,2-0,16 0,16-0,1
0,1-0,063 0,063-0,05 (

0,05

A?oio1

2,0 14,0 25,98 44,48 6,0 6,7 0,07 0,38 0,39

A?oio2(nooic?eiee) 2,81 70,67 21,37 0,13 0,02

5,0

(=d60/d10 aaciaa cia/aiiy k, ni/n ii?eno?noue n

A?oio1 1,62 0,016 0,398

A?oio2(nooic?eiee) 1,73 0,6 0,450

Aeine?aeaeaiiy iaeiii??iiai iioieo aeicaieeee anoaiiaeoe, ui i?e iaaieo
oiiaao no?ee?noue a?ao?ea V=f(I), aea V – oaeaee?noue o?eueo?aoe?eiiai
iioieo, I – a?aae??io iaii?o, ii?ooo?oueny, ui iiynith?oueny
aeaoi?iaoe?yie a?oioo i?ae ae??th o?eueo?aoe?eii? neee, oa?aeoa? yeeo
iiaea aooe ??ciiiai?oiee. Oea caeaaeeoue a?ae oa?aeoa?enoee a?oioo, a?ae
iai?yieo oa aaee/eie o?eueo?aoe?eii? neee. O aeiaaeeo ianooic?eiiai
a?oioo aeaoi?iaoe?? a?aeaoaathoueny ?c-ca ia?ai???ioaoe?? /anoeiie o
i?inoi??. Aiane?aeie oeueiai eiao?oe??io o?eueo?aoe?? ca?eueoo?oueny c
i?aeaeuaiiyi a?aae??io?a aei e?eoe/iiai cia/aiiy (aeey oiia aeine?aeo
Ie=2), iiaeaeueoa ca?eueoaiiy inoaii?o nooo?ai ia aieeaa? ia k, oiaoi
aeaoi?ioaaiiy no?oeoo?e a?oioo cae?i/eeinue. Aiae?c ? ia?iaea
aeine?aeieo aeaieo iieacaee, ui ci?io eiao?oe??ioa o?eueo?aoe??
ianooic?eiiai a?oioo a?ae a?aae??io?a iaii?o iiaeia iienaoe caeaaei?noth

k=ko[1+b(I-Io)] ,
(1)

aea ko – eiao?oe??io o?eueo?aoe?? i?e a?aae??io? Io, cia/ii iaioiio ca
e?eoe/iee;

I – ae?th/ee a?aae??io iaii?o;

b – eiinoaioa, yea aecia/a?oueny aeine?aeiei oeyoii.

Ca ?acoeueoaoaie aeine?aeaeaiue aecia/ai? ko=0,015 ni/n, b=0,22. I?e
ciaioaii? iai?oaeaiue (a?aae??io?a) a?oio iiai?noth ia iiaa?oa?oueny aei
ii/aoeiaiai noaio (eiao?oe??io o?eueo?aoe?? ci?ith?oueny ia nooo?ai),
oiaoi aeaoi?iaoe?? ii?enoiai na?aaeiaeua a aeaieo oiiaao
i?oaeiuei-ieanoe/i?.

Iayai?noue o a?oio? i?eeeo /anoeiie, ye? caeaoi? ia?ai?uoaaoenue o ii?ao
i?ae ae??th o?eueo?aoe?eii? neee, cia/ii oneeaaeith? i?ioeane
aeaoi?iaoe?e. Aiane?aeie ae?? a?aae??io?a iaii?o a na?aaeiaeu?
ooai?ththoueny aea? ciie: 1) aeiino nooic?eieo /anoeiie ? 2)
eieueiaoaaeo, aaee/eia k a ye?e cia/ii iaioa, i?ae a ia?o?e.

Ioaea, aeaoi?iaoeai? i?ioeane a ii?enoiio na?aaeiaeu? i?ecaiaeyoue aei
cia/ieo ci?i eiao?oe??ioa o?eueo?aoe??, a cia/eoue oaeaeeinoae ? aeo?ao.
A iaeieo oiiaao inoaii? ca?eueoothoueny, a a ?ioeo – ciaioothoueny.
Iaa?aooaaiiy iiae?aieo yaeu i?e i?iaeooaaii? ae?aiaaeo aeeeeea?
iaaei?aaaeaia caaeuaiiy eai?oaeiaeeaaeaiue (o aeiaaeeo ca?eueoaiiy
aeo?ao) aai cieaeaiiy aoaeoeaiino? ae?aiaaeo (i?e ?o ciaioaii?). Aeey
aea/aiiy oeeo ieoaiue ia naeoi?iiio o?eueo?aoe?eiiio eioeo i?iaaaeai?
aeine?aeaeaiiy ??cieo eiino?oeoe?e ae?ai, ae?aiao?ii ? aeiaaeeiith
a?aeiia?aeii 7,2 ni ? 33 ni, i?e ?iaio? ?o a ?aaeeiao inooaiiy,
caieiaeaiiy oa i?e oeeee?/i?e ci?i? iai?yieo o?eueo?aoe?eiiai iioieo a
ianooic?eiiio a?oio?. Oa?aeoa?enoeee aeine?aeieo oei?a ae?ai oa oiiae
i?iaaaeaiiy aeine?ae?a iaaaaeai? a?aeiia?aeii a oaae.2 ? oaae.3.

Oaaeeoey 2

Oa?aeoa?enoeee aeine?aeaeoaaeueieo oei?a ae?ai

Oei ae?aie

Oa?aeoa?enoeee ae?aie 1) ?c noeeii 2) ?c noeeii ? o?eueo?ii 3)
aeineiiaea

E?euee?noue ioai??a a ae?ai?, oo. 1 1 2664

?ici?? ioai?o, ni 0,1 0,1 0,3

Nooi?iue ia?oi?aoe?? eiino?oeoe??, % 0,03 0,03 36,0

Oei caoenii-o?eueo?oth/iai iaoa??aeo — neeioe. AA-A neeioe. AA-A

E?euee?noue oa??a o?eueo?o, oo. — 4 4

Oiaueia o?eueo?o, ni — 0,3 0,3

Aeine?aeaeaiiy ea?ai?/ieo ae?ai ?c noeeiaei caci?ii, iacaoeuaiei
o?eueo?ii, a ianooic?eiiio a?oio? iieacaee, ui caeaaei?noue
I.O.Aoaiae??aa aeey aecia/aiiy aeiaeaoeiaeo o?eueo?aoe?eieo iii??a
iaaaeaeaaoia aenia?eiaioaeueiei aeaiei. Aiane?aeie oeueiai ?ic?aooieiaa
ieoiia aeo?aoa cia/ii ia?aaeuo? aeine?aeio.

Oaaeeoey 3

Oiiae i?iaaaeaiiy aeine?aeaeaiue ?aae?aeueii? o?eueo?aoe?? a
ianooic?eiiio a?oio?

?aaeei ?iaioe ae?aie

Oa?aeoa?enoeea inooaiiy oeeee 1 caieiaeaiiy inooaiiy oeeee 2

aeine?aeo oei ae?aie oei ae?aie oei ae?aie

1) 2) 3) 1) 2) 3) 1) 2) 3)

E?euee?noue caaeaieo iaii??a, oo.

5

5

20

7

7

5

5

6

20

I?i?iaeueia ??cieoey iaii??a DH, ni

10,5

10,5

10,5

1,7

6,15

6,1

10,5

10,5

10,5

Iaeneiaeueia ??cieoey iaii??a DH, ni

51,93

59,82

59,3

66,36

94,8

66,1

51,93

59,82

59,3

I?e ?iaio? eiino?oeoe?? a ?aaeei? inooaiiy i?ae ae??th aaeeeeo
a?aae??io?a iaii?o a iaeano? aaciina?aaeiuei a?ey ae?aie a?oioia?
/anoeiee ia?ai???ioiaothoueny a i?inoi?? e ou?eueiththoueny, ooai?thth/e
oa? ?c cieaeaiith aiaeii?iieei?noth, oiio eiao?oe??io o?eueo?aoe?? a
oe?e iaeano? i?i?iaeueiee. I?e ca?eueoaii? ?aae?aeueii? eii?aeeiaoe r
cia/aiiy I ??cei iaaeathoue ? aaee/eia k c?inoa?. A ?aaeei? caieiaeaiiy
aeaoi?iaoe?? a?oioo aiaeia?/i?, aea iathoue a?eueo ?ioaineaiee oa?aeoa?,
ui iiynith?oueny ??ciei iai?oaeaiei noaiii na?aaeiaeua. Ca?eueoaiiy
ae?th/eo ??cieoeue iaii??a i?ecaiaeeoue aei cia/iiai ou?eueiaiiy a?oioo
a cii? aaciina?aaeiuei a?ey ae?aie ?, a?aeiia?aeii, aei ciaioaiiy
aiaeii?eeiaeueii? caeaoiino? ae?aie. C oeueiai aeieeaa?
iaaeioe?euei?noue canoinoaaiiy a aeaieo oiiaao ?iioeueniiai caieiaeaiiy,
yea ia?aaeaa/a? anoaiiaeaiiy aaeeeeo iaii??a, ui iiaea i?ecaanoe aei
i?eieiaiiy ?iaioe eiino?oeoe??. Ci?ie a ?aaeei? caieiaeaiiy nooo?ai
aieeaathoue ia aiaeii?eeiaeueio caeaoi?noue ae?aie a ?aaeei? inooaiiy
oeeeeo 2. I?e iaeeo cia/aiiyo ??cieoeue iaii??a eiino?oeoe?y ia
i?aoeth?. Ca?eueoaiiy ieoiieo aeo?ao i?ecaiaeeoue aei ia?ai???ioaoe??
/anoeiie o i?inoi?? ? /anoeiaiai aeiino ?o ?c ianeao, /a?ac ui
eiao?oe??io o?eueo?aoe??, a cia/eoue, ? aiaeii?eeiaeueia caeaoi?noue
ae?aie ca?eueoothoueny, aea ia aeinyaathoue ii/aoeiaeo cia/aiue.

Canoinoaaiiy oiieiai o?eueo?o aeey caoenoo aiaeii?eeiaeueiiai ioai?o
ea?ai?/ii? ae?aie aeaui iie?auo? oiiae ?iaioe inoaiuei? (ieoii? aeo?aoe
ca?eueoothoueny o ii??aiyii? c iacaoeuaiei noeeiaei caci?ii). Aea ? a
oeueiio aeiaaeeo a iaaeieiae?aii?e cii? a?aeaoaathoueny aeaoi?iaoe??.
Oa?aeoa? ci?ie eiao?oe??ioa o?eueo?aoe?? iiae?aiee aei ii?ooaiiy
no?oeoo?e a?oioo i?e ?iaio? noeeiaiai caci?o, aac o?eueo?a. A
caeaaeiino? a?ae ?aaeeio ?iaioe ae?aie, ci?ie k a?aeaoaathoueny ia
o?eueee a iaeano? aaciina?aaeiuei a?ey ae?aie, aea e ia cia/i?e
a?aeaeae? a?ae ia?.

A oiiaao aeineiiaei? ca oa?aeoa?ii ?ice?eooy ieanoa ae?aie ?iciiae?e
a?aae??io?a iaii?o, a cia/eoue, ? oa?aeoa? ci?ie eiao?oe??ioa
o?eueo?aoe?? a?ae??ciy?oueny a?ae ci?i, ye? a?aeaoaathoueny iaaeiei
iaaeineiiaeeo ae?ai. I?e ?iaio? ea?ai?/ieo ae?ai a oeeo oiiaao cia/aiiy
I iaeneiaeuei? a cii? aaciina?aaeiuei a?ey ae?aie oa ??cei ciaioothoueny
i?e a?aeaeaeaii? a?ae ia?, iaaeeaeath/enue aei oa?aeoa?o ci?i i?e
aeineiiae?e ae?ai?. Oiio cia/i? ci?ie k a?aeaoaathoueny a?ey
aiaeii?eeiaeueiiai ioai?o. O aeiaaeeo aeineiiaei? ae?aie ?iciiae?e
a?aae??io?a ia? a?eueo ieaaiee oa?aeoa?, aiane?aeie /iai /anoeiee a?oioo
ia?ai???ioiaothoueny a i?inoi??, a a ?aaeei? caieiaeaiiy ? caaaeothoueny
ia o?eueee a cii? aaciina?aaeiuei a?ey ae?aie, aea e a ianea? a oe?eiio.
Eiao?oe??io o?eueo?aoe?? i?e oeueiio, a cia/eoue, ? ieoii? aeo?aoe
nooo?ai ca?eueoothoueny (?en.1, ?en.2).

Iaoaiaoe/iee iien i?ioean?a a iaaeieiae?aii?e cii? i?e oeeee?/i?e ci?i?
iai?yieo o?eueo?aoe?eiiai iioieo i?aaenoaaey? iaai? o?oaeiiu?, iia’ycai?
?c oei, ui ci?ie o a?oio? a iiia?aaeiueiio ?aaeei? (caeeoeia?
aeaoi?iaoe??) iaeeaaeathoueny ia aeaoi?iaoe?? a iiaeaeueoiio. Oiio, aeey
aenoiaiiy iaoaiaoe/ii? iiaeae? aeaoi?iaoe?e ? i?aeoaa?aeaeaiiy ??
aenia?eiaioaeueieie ?acoeueoaoaie, iaie i?iaaaeai? aeine?aeaeaiiy c
aeineiiaeith ca oa?aeoa?ii ?ice?eooy ieanoa ae?aiith i?e ?iaio? ?? a
?aaeeiao inooaiiy ? caieiaeaiiy iacaeaaeii iaeei a?ae iaeiiai. Iaie
anoaiiaeaii, ui eiao?oe??io o?eueo?aoe?? i?eeia? iaeneiaeueia oa noaea
cia/aiiy a iaaeieiae?aii?e cii?, aea a?aae??ioe iaii?o iaea?eueo?, oa
ciaioo?oueny i?e a?aeaeaeaii? a?ae ae?aie, e??i oeueiai eiai aaee/eia ?
oa?aeoa? ci?ie caeaaeeoue a?ae ?aaeeio ?iaioe eiino?oeoe??. O aeiaaeeo
caieiaeaiiy cia/aiiy k a iaaeieiae?aii?e iaeano? cia/ii a?eueoa, i?ae a
inooaii?, c a?aeaeaeaiiyi a?ae ae?aie ci?ia eiao?oe??ioa o?eueo?aoe??
i?e caieiaeaii? ia? a?eueo ?ioaineaiee oa?aeoa? o ii??aiyii? c
inooaiiyi.

Ioaea, i?e ?iaio? ae?aiaaeo a iaaeieiae?aii?e cii? a?aeaoaathoueny
aeaoi?iaoe?? a?oioo, ?c-ca yeeo eiao?oe??io o?eueo?aoe?? nooo?ai
ci?ith?oueny, i?e/iio a ?aaeei? caieiaeaiiy a?eueo ?ioaineaii, i?ae a
?aaeei? inooaiiy. Iacaaaeath/e ia oa, ui ?ici??e aeaoi?iiaaii? iaeano?
iae? a ii??aiyii? ?c i?aeae?aiieie a?aenoaiyie, ci?ie k a i?e cia/ii
aieeaathoue ia aiaeii?eeiaeueio caeaoi?noue ae?aiaaeo. Ine?eueee a
iaoo?ieo oiiaao a?eueo iioe?ai? nooic?ei? a?oioe, oiio iinoaea
iaiao?aei?noue aea/aiiy aeaoi?iaoeaieo i?ioean?a a na?aaeiaeu?,
iaaeeaeaiiio aei ?aaeueiiai, oiaoi a nooic?eieo a?oioao. Oiiae
i?iaaaeaiiy aeine?ae?a iaaaaeai? a oaae.4.

Oaaeeoey 4

Oiiae aeine?aeaeaiue ?aae?aeueii? o?eueo?aoe?? aei aeineiiaei? ae?aie

Oa?aeoa?enoeea ?aaeei ?iaioe ae?aie

aeine?aeo inooaiiy caieiaeaiiy

E?euee?noue caaeaieo iaii??a, oo. 6 7

I?i?iaeueia ??cieoey iaii??a DH, ni 1,93 2,03

Iaeneiaeueia ??cieoey iaii??a DH, ni 40,76 26,52

Iaoiaeaie iaoaiaoe/ii? noaoenoeee aeiaaaeaii, ui aeine?aei? ieoii?
aeo?aoe aeineiiaei? ae?aie nooo?ai iaio? ca ?ic?aooieia? i?e k=const
(?en.3). Niaaeaiiy o?eueo?aoe?eii? aeo?aoe na?ae/eoue i?i ciaioaiiy
eiao?oe??ioa o?eueo?aoe?? i?e i?aeaeuaii? ae?th/eo iaii??a. Ii oa?aeoa?o
ci?i eiao?oe??ioa o?eueo?aoe?? a?oio iiaeia ?icae?eeoe ia aea? iaeano?:
1 – eieueiaoaaeo (ro(r(re) ? 2 – aeieao (re(r(R), aea ro, re, R –
a?aeiia?aeii ciai?oi?e ?aae?on ae?aie, eieueiaoaaeo ? ianeao
o?eueo?aoe??. Oe? ci?ie k a ?aaeei? inooaiiy oa caieiaeaiiy iaiaeiaeia?
(?en.4). I?e inooaii? c iaaeeaeaiiyi aei ae?aie a cii? 2 i?e ci?i?
?aae?aeueii? eii?aeeiaoe aei re aaee/eia k c?inoa?. Oea iaoiiaeaii
ia?ai???ioaoe??th /anoeiie neaeaoo i?ae ae??th a?aae??io?a iaii?o ?
aeieaii nooic?eieo /anoeiie, ye? ou?eueiththoueny ? coieiythoueny ?c
iaaeeaeaiiyi aei ae?aie, ui nooo?ai ciaioo? eiao?oe??io o?eueo?aoe??
a?oioo a cii? 1. I?e caieiaeaii? eieaeuei? a?aae??ioe iaii?o a iaeano?
aaciina?aaeiuei a?ey eiino?oeoe?? cia/ii ia?aaeuothoue e?eoe/i?,
/anoeiee neaeaoo ? nooic?ei? ou?eueiththoueny, oiio aaee/eia k a cii? 1
i?i?iaeueia.

I?e a?aeaeaeaii? a?ae ae?aie a?aae??ioe oa ?o aieea ia i???ioaoe?th
/anoeiie ciaioo?oueny, oiio i?e ci?i? ?aae?aeueii? eii?aeeiaoe aei re
eiao?oe??io o?eueo?aoe?? ca?eueoo?oueny. A cii? aeieao (re(r(R) aaee/eia
k ciaioo?oueny ?c-ca ia?ai???ioaoe?? /anoeiie neaeaoo oa ia?ai?uaiiy
nooic?eieo /anoeiie. Ci?ie eiao?oe??ioa o?eueo?aoe?? i?e caieiaeaii?
iinyoue a?eueo ?ioaineaiee oa?aeoa? o ii??aiyii? c inooaiiyi.

*aoaa?oee ?icae?e “Oai?aoe/i? aeine?aeaeaiiy o?eueo?aoe?eiiai iioieo a
na?aaeiaeuao, ui aeaoi?iothoueny” i?enay/aiee ?ica’yceo iiaeaeueii?
caaea/? i?ioeano inaneiao?e/ii? ?aae?aeueii? o?eueo?aoe?? aei ae?aie a
e?oaiaiio ieano? c o?aooaaiiyi aeaoi?iaoe?e a?oioo a iaaeieiae?aii?e
cii?.

Anoaiiaeaii, ui a iaaeieiae?aii?e cii? o?eueo?aoe?eiee iioie ?
?aae?aeueiei. Inaneiao?e/iee ?aae?aeueiee i?eoie aei ae?aie a e?oaiaiio
ieano? o aeiaaeeo, eiee a?oio ia aeaoi?io?oueny, ye a?aeiii, iieno?oueny
a?aie/iith caaea/ath

(2)

aea ko – aaee/eia eiao?oe??ioa o?eueo?aoe?? i?e I=Ii.

Iaie i?iiiio?oueny i?e iiaeaeueoiio ?icaeyae? aaaaeaoe ?aaeei
o?eueo?aoe?? oaeiae e?i?eiei, yeee a?aeiia?aea? caeiio Aea?n?, aea
?aooaaoe ci?iiei eiao?oe??io o?eueo?aoe??. C a?aooaaiiyi (1)
cai?iiiiiaaiee oa?aeoa? ci?ie k

(3)

k2 – aaee/eia eiao?oe??ioa o?eueo?aoe?? i?e e?eoe/iiio a?aae??io? iaii?o
Ie;

rc – ?aae?on neeiai? ae?? ae?aie, oiaoi eii?aeeiaoa r, a ye?e I=Ie;

a+b=1, a ? b – eiinoaioe, ui oa?aeoa?ecothoue aeaoi?iaoeai? aeanoeaino?
a?oioo ? aecia/athoueny aeine?aeiei oeyoii.

?ica’ycie (2) c o?aooaaiiyi (3) io?eia?ii aeey ?aaeeio inooaiiy:

(4)

aeey ?aaeeio caieiaeaiiy:

(5)

O(rc)=(1-a)ln(rc/ro)+ln(R/rc(1-a)+a) ,
(6)

, (7)

aea q – ieoiia aeo?aoa;

ko=(1-a)k2.

sse aeaeii ?c (7) ?aae?on neeiai? ae?? rc caeaaeeoue a?ae cia/aiiy
e?eoe/iiai a?aae??ioa iaii?o, oiio, aiaeia?/ii (3), cai?iiiiiaaiee
aa??aio ci?ie eiao?oe??ioa o?eueo?aoe?? a caeaaeiino? a?ae Ie

, (8)

aea ( – aeayea noaea, ui oa?aeoa?eco? aeaoi?iaoeai? aeanoeaino? a?oioo ?
aecia/a?oueny aeine?aeiei oeyoii.

?ica’ycie (2) c o?aooaaiiyi (8) io?eia?ii o aeaeyae? aeey ?aaeeio
inooaiiy

(9)

; z=r/R;

aeey ?aaeeio caieiaeaiiy

(10)

.

Ieoiia o?eueo?aoe?eia aeo?aoa ? ?aae?on neeiai? ae?? ia/eneththoueny ca
oi?ioeaie

, (11)

aea ko=k2(1-(Ie), a yeeo aeey ?aaeeio inooaiiy

; (12)

aeey ?aaeeio caieiaeaiiy

. (13)

Aiaeia?/ii (3) iaie cai?iiiiiaaia iiaeaeue ci?ie k a nooic?eiiio a?oio?

(14)

aea re – ?aae?on ciie eieueiaoaaeo;

ko; ko* – a?aeiia?aeii cia/aiiy eiao?oe??ioa o?eueo?aoe?? a cii? aeieao
a?aeiia?aeii i?e r=R ? r=re; ;

a+b=1, a, b ? e – eiinoaioe, ui aecia/athoueny aeine?aeiei oeyoii.

?ica’ycie caaea/? (2) c o?aooaaiiyi (14) io?eia?ii o ianooiiiio aeaeyae?

(15)

, (16)

, (17)

.

Aeeiiaia ia?aa??ea aaeaeaaoiino? caeaaeiinoae aeey aecia/aiiy
?iciiae?eo iaii??a a ianea? o?eueo?aoe?? oa ieoiieo aeo?ao, a oaeiae
noaoenoe/ia ia?iaea eiao?oe??io?a a, b i e .

A i’yoiio ?icae?e? ” Caeaaeiino? oa ?aeiiaiaeaoe?? ii ?ic?aooieo
ae?aiaaea c o?aooaaiiyi i?ioean?a iaaeiei ae?ai ? caieiaeoaa/?a.
Ai?iaaaeaeaiiy ?acoeueoao?a aeine?aeaeaiue” iaaiaeyoueny iniiai?
caeaaeiino? ? ?aeiiaiaeaoe?? ii aecia/aiith aeiaeaoeiaeo o?eueo?aoe?eieo
iii??a c o?aooaaiiyi aeaoi?iaoe?e na?aaeiaeua.

A iniiao ioe?iee aiaeii?eeiaeueii? caeaoiino? ae?aiaaeieo eiino?oeoe?e
iieeaaeaii iaoiae o?eueo?aoe?eieo iii??a, ca?aeii c yeei, iai?eeeaae,
aeey iaeeii/ii? i?ae?oneiai? ae?aie i?eo?e aecia/a?oueny ca caeaaei?noth

, (18)

O=Oi+Oi ,
(19)

aea k – eiao?oe??io o?eueo?aoe?? a?oioo;

O – iiaiee o?eueo?aoe?eiee ii??;

Oi – aac?ici??iee o?eueo?aoe?eiee ii??, iaoiiaeaiee a?ae?iaeeiai?/iith
iaaeineiiae?noth ae?aiaaeo ca nooiaiai ?ice?eooy aiaeiiiniiai ieanoa;

Oi – aac?ici??iee o?eueo?aoe?eiee ii??, iaoiiaeaiee iaaeineiiae?noth
ae?aiaaeo ca oa?aeoa?ii ?ice?eooy ieanoa.

Oai?aoe/i? aeine?aeaeaiiy aeicaieeee io?eiaoe caeaaeiino? aeey
aecia/aiiy o?eueo?aoe?eieo iii??a ca oa?aeoa?ii ?ice?eooy ieaoa, oae ye
oe? iii?e i?aeoe/ii aecia/athoueny aeaoi?iaoe?yie na?aaeiaeua a
iaaeieiae?aii?e cii?, oiaoi ?aooaaoe

O? ( O* ,
(20)

aea O* – aac?ici??iee o?eueo?aoe?eiee ii??, yeee eiiieaenii a?aoiao?
iaaeineiiae?noue ae?aie ca oa?aeoa?ii ?ice?eooy ieanoa ? aeaoi?iaoe??
a?oioo a iaaeieiae?aii?e cii?.

Iaie i?iiiio?oueny O* aeey ieco?aeii? o?eueo?aoe?e (?aaeei inooaiiy) a
ianooic?eiiio a?oio? aecia/aoe ca oi?ioeaie (6) ? (12), aeey aeno?aeii?
(?aaeei caieiaeaiiy) – (6) ? (13). Aeey aeineiiaei? ae?aie, ui i?aoeth?
a ianooic?eiiio i?uaiiio a?oio? ?c na?aaei?i ae?aiao?ii /anoeiie d=0,19
ii, cia/aiiy eiao?oe??io?a a ? e noaiiaeyoue: aeey ?aaeeio inooaiiy
a=0,346, e =0,517; aeey ?aaeeio caieiaeaiiy a=0,854, e =1,248.

Aeey ianooic?eieo i?uaieo a?oio?a c ?ioei a?aioeiiao?e/iei neeaaeii
?aae?on neeiai? ae?? ae?aie rc iiaea aooe aecia/aiee oeyoii i?iaaaeaiiy
aeine?aeaeaiue ia o?eueo?aoe?eiiio eioeo. Cia/aiiy eiao?oe??io?a a ? e
iiaeia anoaiiaeoe ca ?acoeueoaoaie eeoa aeine?ae?a ia onoaiiaoe? Aea?n?,
nei?enoaaoenue oi?ioeaie

. (21)

Aeey aecia/aiiy O* a nooic?eiiio na?aaeiaeu? iaie cai?iiiiiaaia oi?ioea
(17). Aeey aeineiiaei? ae?aie, ui i?aoeth? a nooic?eiiio i?uaiiio a?oio?
c na?aaei?i ae?aiao?ii /anoeiie neaeaoo d=0,72 ii ? ae?aiao?ii
nooic?eieo /anoie dci=0,16…0,1 ii cia/aiiy eiao?oe??io?a a, b ? e
noaiiaeyoue: aeey ?aaeeio inooaiiy a=0,02 – 0,08, b=0,92 – 0,98, e
=-0,22 – -0,01; aeey ?aaeeio caieiaeaiiy – a=0,01-0,08, b=0,8 – 0,99, e
=-0,09 – -0,001. Aeey nooic?eieo i?uaieo a?oio?a c ?ioei
a?aioeiiao?e/iei neeaaeii ?aae?on ciie eieueiaoaaeo re iiaea aooe
aecia/aiee oeyoii i?iaaaeaiiy aeine?aeaeaiue ia o?eueo?aoe?eiiio eioeo,
a eiao?oe??ioe a, b ? e – ca ?acoeueoaoaie eeoa aeine?ae?a ia onoaiiaoe?
Aea?n?, nei?enoaaoenue oi?ioeaie

. (22)

Iaa?aooaaiiy aeaoi?iaoe?e na?aaeiaeua a iaaeieiae?aii?e cii? i?e
?ic?aooieao i?eaiaeyoue aei cia/ieo iioeaie o aecia/aii?
aiaeii?eeiaeueii? caeaoiino? ae?ai.

Oaeei /eiii, iaie i?iiiio?oueny caeaaeiino? aeey o?eueo?aoe?eieo iii??a
a iaaeieiae?aii?e cii? c o?aooaaiiyi aeaoi?iaoe?e na?aaeiaeua aeeth/eoe
o oi?ioeo aeey aecia/aiiy iiaiiai o?eueo?aoe?eiiai iii?o ianooiiei /eiii

O=Oi+O* .
(23)

I?e oeueiio, ye iieacaa i?iaaaeaiee aiae?c, ia?aiao? O* ia aoaea
caeaaeaoe a?ae noaie i?eoieo aiaee aei ae?aie, aoaeue oi ae?aia c
aieiaei i?eoieii, i?ae?oneiaa /e c ?io?eueo?aoe?eiei aeeaeaiiyi.

AENIIAEE

Aeine?aeaeaiiy iaeiii??iiai o?eueo?aoe?eiiai iioieo aeicaieeee
anoaiiaeoe, ui eiao?oe??io o?eueo?aoe?? na?aaeiaeua ci?ith?oueny
aiane?aeie aeaoi?iaoe?e, ye? a?aeaoaathoueny i?ae ae??th a?aae??io?a
iaii?o. Oa?aeoa? aeaoi?iaoe?e caeaaeeoue a?ae o?eueo?aoe?eieo
aeanoeainoae na?aaeiaeua oa iai?yieo iioieo.

Aeine?aeaeaiiy ?aae?aeueiiai iioieo iieacaee, ui o?eueo?aoe?ei?
aeaoi?iaoe?? a?oioo nooo?ai aieeaathoue ia aiaeii?eeiaeueio
ni?iiiaei?noue ae?aiaaeo, oiio ?nioth/? iaoiaeeee ?ic?aooieo ia caaaeaee
a?aeiia?aeathoue aeine?aeiei aeaiei.

Oa?aeoa? aeaoi?iaoe?e caeaaeeoue a?ae na?aaeiaeua, eiino?oeoe?? ae?aie,
?aaeeio ?? ?iaioe oa oeeee?/iino? ci?ie iai?yieo o?eueo?aoe?eiiai
iioieo. O aeiaaeeo ea?ai?/ii? ae?aie c? noeeiaei caci?ii, iacaoeuaiei
o?eueo?ii, aeine?aei? aeo?aoe a ?aaeei? caieiaeaiiy cia/ii ciaioothoueny
c i?aeaeuaiiyi ae?th/eo iaii??a. C oeueiai aeieeaa? iaaeioe?euei?noue
aeei?enoaiiy aeaii? eiino?oeoe?? i?e ?iioeueniiio caieiaeaii?. I?e
caoeno? aiaeii?eeiaeueiiai ioai?o oe??? ae?aie neeioeaieiith oa?aeoa?
aeaoi?iaoe?e i?aeoe/ii ia ci?ith?oueny.

O aeiaaeeo aeineiiaei? ca oa?aeoa?ii ?ice?eooy ieanoa ae?aie a
ianooic?eiiio na?aaeiaeu? aeine?aei? aeo?aoe cia/ii ia?aaeuothoue
?ic?aooieia?, ui iia’ycaii ?c ca?eueoaiiyi eiao?oe??ioa o?eueo?aoe?? a
iaaeieiae?aii?e cii?. I?e ci?i? iai?yieo iioieo ?ioaineai?noue ci?i o
a?oio? c?inoa?. Nooic?eia na?aaeiaeua ca oa?aeoa?ii ci?ie eiao?oe??ioa
o?eueo?aoe?? ?icae?ey?oueny ia aea? ciie: aeiino nooic?eieo /anoeiie ?
eieueiaoaaeo, eiao?oe??io o?eueo?aoe?? a ye?e cia/ii iaioee o ii??aiyii?
?c iaeanoth aeieao.

Iaa?oioiaai? caeiiii??iino? ci?ie eiao?oe??ioa o?eueo?aoe?? a
ianooic?eiiio oa nooic?eiiio na?aaeiaeuao. ?ic?iaeai? iiaeae? a?oioiaiai
i?eoieo aiaee aei ae?aie c? ci?iiei eiao?oe??ioii o?eueo?aoe??, ia
i?aenoaa? yeeo io?eiai? caeaaeiino? aeey aecia/aiiy iaii??a ?
a?aae??io?a a iaeano? o?eueo?aoe?? i?e ?iaio? ae?aie a ?aaeei? inooaiiy
? caieiaeaiiy. I?iaaaeaia oe?iea aeine?aeia ai?iaaoe?y oeeo
caeaaeiinoae.

?ic?iaeai? ?aeiiaiaeaoe?? uiaei ?ic?aooieo ae?aiaaeo, yeee i?aoeth? a
aeainoi?iiueiio ?aaeei?, c o?aooaaiiyi aeaoi?iaoe?e a?oioo a
iaaeieiae?aii?e cii?. Aeeiiaii ai?iaaaeaeaiiy oeeo ?aeiiaiaeaoe?e ia
iiaeoe? aeine?aeii-ae?iaie/i? aaoiiaoeciaaii? ICN, yea ?icoaoiaaia a n.
Eai’yieoey Aeoai?anueeiai ?aeiio ??aiainueei? iaeano?.

NIENIE IIOAE?EIAAIEO I?AOeUe CA OAIITH AeENA?OAOe??

Oeaioe I.I., ssoeee A.A., Noanthe ss.I., ?aauaiei A.I.
A?ae?iaaoiiaoe/iee ?aaoeyoi? ??ai?a aiaee a iiaeoeueieo
inoooaaeueii-caieiaeoaaeueieo nenoaiao // A?ae?iiae?i?aoe?y oa
a?ae?ioaoi?/ia aoae?aieoeoai.-1997.- Aei.22.- N.8-16.

ssoeee A.A., Oeaioe I.I., ?aauaiei A.I. O?eueo?aoe?y aei
ai?eciioaeueiiai ea?ai?/iiai ae?aiaaeo // Aiaeia ainiiaea?noai Oe?a?ie.-
1997.- ?4.- N.15-17.

Oeaioe I.I., ssoeee A.A., ?aauaiei A.I. Iniaeeaino? ?iaioe
inoooaaeueii-caieiaeoaaeueieo nenoai. // Aiaeia ainiiaea?noai Oe?a?ie.-
1998.- ? 5-6.- N. 37 – 39.

?aauaiei A.I. Aieea aeaoi?iaoe?e a?oioo ia ?iaioo ae?aiaaeo //
Aeooaeuei? i?iaeaie aiaeiiai ainiiaea?noaa: Ca. iaoe. noaoae. – ??aia:
OAeAAA, 1997.- O.1.- N.49-50.

Aeieo???a Ae.A., ?aauaiei A.I. Aieea o?eueo?aoe?eii? i?oeiino? a?oioo a
iaaeieiae?aii?e cii? ia ?iaioo ae?aiaaeii? nenoaie // Aeooaeuei?
i?iaeaie aiaeiiai ainiiaea?noaa: Ca. iaoe. noaoae.- ??aia: OAeAAA,
1997.- O.1.- N.36-38.

?aauaiei A.I. Aeine?aeaeaiiy iaeiii??iiai o?eueo?aoe?eiiai iioieo a
na?aaeiaeuao, ui aeaoi?iothoueny i?ae ae??th a?aae??io?a iaii?o //
A?niee Oe?. aea?ae. aeaae. aiaei. aini-aa ’’No/ani? i?iaeaie oai???
o?eueo?aoe??’’.- ??aia: OAeAAA, 1998.- N.61-65.

?aauaiei A.I. Aeine?aeaeaiiy o?eueo?aoe?? a na?aaeiaeuao, ui
aeaoi?iothoueny // Ca. noaoae ca iaoa??aeaie ??? iaoe.-oao. eiioa?aioe??
i?ioani?nueei-aeeeaaeaoeueeiai neeaaeo, ani??aio?a oa nooaeaio?a
aeaaeai?? 24 aa?aciy – 16 ea?oiy 1997?.- ??aia: OAeAAA, 1997.- *.?? –
N.30- 32.

?aauaiei A.I., Aeieo???a Ae.A. Aecia/aiiy eiao?oe??ioo o?eueo?aoe??
a?oioo ia iai??i?e onoaiiaoe? Aea?n? // Ca. noaoae ca iaoa??aeaie ???
iaoe.-oaoi. eiioa?aioe?? i?ioani?nueei-aeeeaaeaoeueeiai neeaaeo,
ani??aio?a oa nooaeaio?a aeaaeai?? 24 aa?aciy – 16 ea?oiy 1997?.- ??aia:
OAeAAA, 1997. – *.?? – N. 33- 35.

AIIOAOe?ss

?aauaiei A.I. O?eueo?aoe?ei? i?ioeane iaaeiei ae?ai ? caieiaeoaa/?a ? ?o
aieea ia aiaeii?eeiaeueio caeaoi?noue eiino?oeoe?e. – ?oeiien.

Aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.23.16 – a?ae?aae?ea oa ?iaeaia?ia a?ae?ieia?y.-
??aiainueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, ??aia, 1999.

Aeena?oaoe?y i?noeoue oai?aoe/i? oa aenia?eiaioaeuei? aeine?aeaeaiiy
aeaoi?iaoeaieo i?ioean?a iaaeiei ae?ai ? caieiaeoaa/?a. Anoaiiaeaii, ui
ci?ie o?eueo?aoe?eieo aeanoeainoae na?aaeiaeua nooo?ai aieeaathoue ia
?iaioo ae?aiaaeo iae?i?aoeaieo nenoai. ?ic?iaeaia iaoiaeeea a?aooaaiiy
?o i?e ?ic?aooieao ae?aiaaeieo eiino?oeoe?e.

Eeth/ia? neiaa: aeaoi?iaoeai? i?ioeane, ae?aia, caieiaeoaa/,
o?eueo?aoe?ei? aeanoeaino? na?aaeiaeua, a?ae?aae?/i? ia?aiao?e.

AIIIOAOeEss

Eaauaiei A.I. Oeeueo?aoeeiiiua i?ioeannu aie?oa ae?ai e oaeaaeieoaeae e
eo aeeyiea ia aiaeii?eaiioth niiniaiinoue eiino?oeoeee. – ?oeiienue.

Aeenna?oaoeee ia nieneaiea iao/iie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.23.16 – aeae?aaeeea e eiaeaia?iay aeae?ieiaey.-
?eaiaineee ainoaea?noaaiiue oaoie/aneee oieaa?neoao, ?eaiy, 1999.

Ai aaaaeaiee iainiiaaia aeooaeueiinoue oaiu, noi?ioee?iaaia oeaeue
enneaaeiaaiee, aeaia iauay oa?aeoa?enoeea ?aaiou.

A ia?aii ?acaeaea ia iniiaaiee eco/aiey i?iaeaiu oeeueo?aoeeiiiiai
?an/aoa ae?aiaaea inooeoaeueii-oaeaaeieoaeueiuo nenoai, a eioi?ii ia
o/eouaathony aeaoi?iaoeee a?oioiaie n?aaeu, noi?ioee?iaaiu caaea/e
enneaaeiaaiee.

Ai aoi?ii ?acaeaea oeacuaaaony, /oi enneaaeiaaiey i?iaiaeeeenue a
eaai?aoi?iuo oneiaeyo n ianoooiceiiiui e noooiceiiiui a?oioaie ia
oece/aneeo iiaeaeyo: ia iaii?iie onoaiiaea Aea?ne e naeoi?iii
oeeueo?aoeeiiiii eioea.

A o?aoueai ?acaeaea i?aaenoaaeaiu yenia?eiaioaeueiua enneaaeiaaiey
iaeiiia?iiai e ?aaeeaeueiiai oeeueo?aoeeiiiiai iioieia a ianoooiceiiiie
e noooiceiiiie (5% noooiceiiiuo /anoeoe ii ianna) n?aaeao, eioi?ua
iicaieeee onoaiiaeoue, /oi eiyooeoeeaio oeeueo?aoeee a?oioa k eciaiyaony
ec-ca aeaoi?iaoeee, aicieeathueo iiae aeaenoaeai a?aaeeaioia iaii?a.
Oa?aeoa? aeaoi?iaoeee caaeneo io n?aaeu e iai?aaeaiey oeeueo?aoeeiiiiai
iioiea. A ianoooiceiiiii a?oioa eiyooeoeeaio oeeueo?aoeee aic?inoaao n
oaaee/aieai a?aaeeaioia iaii?a aei ii?aaeaeaiiiai e?eoe/aneiai cia/aiey.
Aeaeueiaeoaa eciaiaiea iineaaeieo nouanoaaiii ia aeeyao ia aaee/eio k.
Noooiceiiioth n?aaeo ii oa?aeoa?o eciaiaiey eiyooeoeeaioa oeeueo?aoeee
iiaeii ?acaeaeeoue ia aeaa ciiu: auiina noooiceiiiuo /anoeoe e
eieueiaoaaea, iieiaeaiea eioi?uo caaeneo io iai?aaeaiey
oeeueo?aoeeiiiiai iioiea. A ia?aie iaeanoe eiyooeoeeaio oeeueo?aoeee
cia/eoaeueii aieueoee ii n?aaiaieth ni aoi?ie. Enneaaeiaaiey
?aaeeaeueiiai iioiea iieacaee, /oi oeeueo?aoeeiiiua aeaoi?iaoeee a?oioa
nouanoaaiii aeeytho ia aiaeii?eaiioth niiniaiinoue ae?aiaaea, iiyoiio
nouanoaothuea iaoiaeeee ?an/aoa iaaaeaeaaoiua iiuoiui aeaiiui. Oa?aeoa?
aeaoi?iaoeee caaeneo io n?aaeu, eiino?oeoeee ae?aiu, ?aaeeia aa ?aaiou e
oeeeee/iinoe eciaiaiey iai?aaeaiey oeeueo?aoeeiiiiai iioiea. A neo/aa
ea?aie/aneie ae?aiu ni noueiaui caci?ii, iacaueuaiiui oeeueo?e?othuei
iaoa?eaeeii, iiuoiua oaeaeueiua ?anoiaeu nouanoaaiii iaioa ?an/aoiuo,
i?e/ai, a ?aaeeia oaeaaeiaiey iie (?annoiaeu) cia/eoaeueii oiaiueoathony
n iiauoaieai aeaenoaothueo iaii?ia. A nayce n yoei auoaeaao
iaoeaeaniia?aciinoue enniieueciaaiey aeaiiie eiino?oeoeee i?e
eiioeueniii oaeaaeiaiee, eioi?ia i?aaeiieaaaao onoaiiaeaiea aieueoeo
?aciinoae iaii?ia, /oi iiaeao i?eaanoe e i?ae?auaieth ?aaiou ae?aiaaea.
Iaee/ea oiieiai oeeueo?a a aeaea noaeeioienoa ianeieueei oeo/oaao
oneiaey ?aaiou ea?aie/aneiai ae?aiaaea, ii e a yoii neo/aa eciaiaiey a
a?oioa nouanoaaiii aeeytho ia aai aiaeii?eaiioth niiniaiinoue, i?e/ai
oa?aeoa? aeaoi?iaoeee aiaeiae/iue eciaiaieyi a neo/aa noueiaiai caci?a
aac oeeueo?a. Enneaaeiaaiey niaa?oaiiie ii oa?aeoa?o ?ane?uoey ieanoa
ae?aiu iieacaee, /oi a ianoooiceiiiie n?aaea iiuoiua oeeueo?aoeeiiiua
?anoiaeu cia/eoaeueii i?aauoatho ?an/aoiua, /oi naycaii n oaaee/aieai
eiyooeoeeaioa oeeueo?aoeee a ieieiae?aiiie ciia, i?e eciaiaiee
iai?aaeaiey iioiea eioaineaiinoue eciaiaiee a a?oioa ?anoao.
Noooiceiiioth n?aaeo ii oa?aeoa?o eciaiaiey eiyooeoeeaioa oeeueo?aoeee
iiaeii ?acaeaeeoue ia aeaa ciiu: auiina noooiceiiiuo /anoeoe e
eieueiaoaaea. Aaee/eia k a iineaaeiae ieieiaeueia, /oi cia/eoaeueii
aeeyao ia oaeaeueiua ?anoiaeu eiino?oeoeee, oiaiueoay eo ii n?aaiaieth n
?an/aoiuie.

A /aoaa?oii ?acaeaea i?aaeeiaeaiu caeiiiia?iinoe eciaiaiey eiyooeoeeaioa
oeeueo?aoeee, ?aoaia caaea/a inaneiiao?e/iie ?aaeeaeueiie oeeueo?aoeee e
ae?aia a e?oaiaii ieanoa a neo/aa, eiaaea a?oio aeaoi?ie?oaony. Iieo/aiu
caaeneiinoe aeey ii?aaeaeaiey iaii?ia e a?aaeeaioia a iaeanoe
oeeueo?aoeee, a oaeaea oaeaeueiiai ?anoiaea.

A iyoii ?acaeaea ?ac?aaioaiu ?aeiiaiaeaoeee e ?an/aoo ae?aiaaea,
?aaioathuaai a aeaonoi?iiiai ?aaeeia, n o/aoii aeaoi?iaoeee a?oioa a
ieieiae?aiiie ciia

Eeth/aaua neiaa: aeaoi?iaoeaiua i?ioeannu, ae?aia, oaeaaeieoaeue,
oeeueo?aoeeiiiua naienoaa n?aaeu, aeae?aaee/aneea ia?aiao?u.

ANNOTATION

Ivashchenko A.P. Filtration processes round drains and moisteners and
influence of these processes on the catch-water ability of the
constructions. – Manuscript.

Dissertation in competition for the degree of Ph.D in speciality No.
05.23.16 – hydraulics and engineer hydrology, State Technical University
of the city of Rivne, Rivne, 1999.

Dissertation contains theoretical and experimental investigations of
deformation processes round drains and moisteners. It was determined
that changes of filtration properties of medium, affect essentially the
hydraulic parameters of drainage of land-reclamation systems. Methods of
ragistration of changes in calculations of drainage constructions were
worked out.

Key words: deformation processes, drain, moistener, filtration
properties of medium, hydraulic parameters.

PAGE

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