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Вдосконалення технології відновлення свердловин забурюванням додаткових стовбурів: Автореф. дис… канд. техн. наук / М.В. Лігоцький, Івано-Франків. д

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?AAII-O?AIE?ANUeEEE AeA?AEAAIEE OAOI?*IEE

OI?AA?NEOAO IAOOE ? AACO

E?AIOeUeEEE IEEIEA AIEIAeEIE?IAE*

OAeE 622.248.6+622.276.7

AAeINEIIAEAIIss OAOIIEIA?? A?AeIIAEAIIss NAA?AeEIAEI CAAO?THAAIIssI
AeIAeAOEIAEO NOIAAO??A

05.15.10 — Ao??iiy naa?aeeiaei

A A O I ? A O A ? A O

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

?aaii-O?aie?anuee — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a ?aaii-O?aie?anueeiio aea?aeaaiiio oaoi?/iiio
oi?aa?neoao? iaooe ? aaco I?i?noa?noaa ina?oe Oe?a?ie.

Iaoeiaee ea??aiee: aeieoi? oaoi?/ieo iaoe, i?ioani?,

caneoaeaiee ae?y/ iaoee Oe?a?ie

ss?ai?e/oe ?iiai Naiaiiae/,

?aaii-O?aie?anueeee aea?aeaaiee
oaoi?/iee oi?aa?neoao

iaooe ? aaco,

.caa?aeoaa/ eaoaae?e ii?nueeeo
iaooiaaciaeo nii?oae.

Io?oe?ei? iiiiaioe: aeieoi? oaoi?/ieo iaoe, i?ioani?

Iaa?ioeueeee Aiaaeai ?aaiiae/,

?aaii-O?aie?anueeee aea?aeaaiee
oaoi?/iee oi?aa?neoao

iaooe ? aaco,

i?ioani? eaoaae?e iaooiai? ? aaciai?
a?ae?iiaoai?ee,

eaiaeeaeao oaoi?/ieo iaoe,

noa?oee iaoeiaee ni?a?ia?oiee

O?ec ?aai Ieoaeeiae/

EIAI “Ao?na?a?n” (i.
?aaii-O?aie?anuee),

i?ia?aeiee niaoe?ae?no.

I?ia?aeia onoaiiaa: Oe?a?inueeee iaoeiai-aeine?aeiee ?inoeooo i?e?iaeieo
aac?a

i. Oa?e?a

Caoeno a?aeaoaeaoueny “14“_ aeiaoiy 1999 ?. i 10 30 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae.20.052.02
?aaii-O?aie?anueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo iaooe ? aaco
ca aae?anith: 284018, Oe?a?ia, i. ?aaii-O?aie?anuee, aoe. Ea?iaonueea,
15.

C aeena?oaoe??th iiaeia iciaeiieoenue a iaoeiai-oaoi?/i?e a?ae?ioaoe?
?aaii-O?aie?anueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo iaooe ? aaco
ca aae?anith: 284018, Oe?a?ia, i. ?aaii-O?aie?anuee. aoe. Ea?iaonueea,
15.

Aaoi?aoa?ao ?ic?neaiee “7“ aa?aniy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee,

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio
I.I. Aeoeueoei

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Aaaeeeaa ?ieue a iie?auaii? iaeeaii-aia?aaoe/iiai
aaeaino Oe?a?ie a?aeaiaeeoueny ?aoe?iiaeueiiio aeei?enoaiith oiiaeo
i?iao?aieo naa?aeeiaei. Aaeeea e?euee?noue aacae?th/eo, aaa??eieo oa
e?ea?aeiaaieo naa?aeeiaei ? aaaiiei ?aca?aii aeey i?aeaeuaiiy ianya?a
aeaeiaooeo iaooe ? aaco. Cia/io ?o e?euee?noue iiaeia ? aeioe?eueii
a?aeiiaeoe oa iiaoi?ii aaanoe a i?iieneiao aenieoaoaoe?th.

Na?aae niinia?a a?aeiiaeaiiy naa?aeeiaei iniaeeaa i?noea caeia? iaoiae
caao?thaaiiy aeiaeaoeiaeo noiaao??a /a?ac “a?eii” a ianaaei?e
(aenieoaoaoe?ei?e) eieii?. Oeae iaoiae aeicaiey? a?aeiiaeoe iaa?oue o?
naa?aeeiaeie, eio?? ?ioeie iaoiaeaie a?aeiiaeoe iaiiaeeeai aai oea ?
aeiiii?/ii iaaeioe?eueiei.

C?inoath/? ianyae ?ia?o c a?aeiiaeaiiy naa?aeeiaei iaoiaeii
caao?thaaiiy aeiaeaoeiaeo noiaao??a, a oaeiae aeina?ae ia?aaeiaeo
iaooiaaciaeo eiiiai?e na?oo na?ae/aoue i?i ia?niaeoeai?noue oeueiai
iai?yieo a Oe?a?i?.

I?ioa, iacaaaeath/e ia aeinyaioo? ?acoeueoaoe, ie?ai? aniaeoe aeaii?
i?iaeaie aea/ai? iaaeinoaoiuei ? iio?aaothoue aaeineiiaeaiiy. Oiio
i?iaaaeaiiy aeine?aeaeaiue c iaoith i?aeaeuaiiy aoaeoeaiino? ?ia?o c
a?aeiiaeaiiy naa?aeeiaei oeyoii caao?thaaiiy aeiaeaoeiaiai noiaao?a ?
aeooaeueiith ? aaaeeeaith i?iaeaiith.

Ca`ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Aeena?oaoe?eia
?iaioa aeeiiaia a iai?yieo AeIOI “?ano?nicaa?aaeaiiy” ii ?icae?eo 5.3.1
“I?iaeaie iaooiaaciaeo ?ano?n?a Oe?a?ie ? iaoeia? i?eioeeie ?o
ae??oaiiy” ? ?aae?ciaaia a eiieo?niiio i?iaeo? “A?aeiiaeaiiy aaa??eieo,
iaeiaeaa?oieo, aacae?th/eo ? e?ea?aeiaaieo naa?aeeiaei ? aaaaeaiiy ?o a
iiaoi?io aenieoaoaoe?th c iaoith aeaeiaooeo iaooe ? aaco“ ? aoiaeeoue a
oaiaoe/i? ieaie IAE “Iaooiaac Oe?a?ie”, AAO “Oe?iaooa” oa AAO “Oe?IA?”.

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith ?iaioe ? i?aeaeuaiiy aoaeoeaiino?
oa aaeineiiaeaiiy oaoi?ee ? oaoiieia?? a?aeiiaeaiiy naa?aeeiaei
caao?thaaiiyi aeiaeaoeiaeo noiaao??a /a?ac “a?eii” a ianaaei?e eieii?.

Iniiai? caaea/? aeine?aeaeaiiy.

1. ?ic?iaea iaoaiaoe/ii? iiaeae? i?ioeano caao?thaaiiy aeiaeaoeiaiai
noiaao?a a naa?aeeiaei? /a?ac “a?eii” a ianaaei?e eieii?, aea/aiiy
iniiaieo caeiiii??iinoae oaoiieia?/iiai i?ioeano oa e?eoa???a ioe?iee
aoaeoeaiino?.

2. Aaeineiiaeaiiy iaoiaeeee ?ic?aooie?a iioeiaeueieo ia?aiao??a
“a?eia”, oaoiieia?? eiai ae??caiiy oa eiino?oeoe?e eeeiiaiai
a?aeoeethaa/a, ?aeaa?a ? eiiiiiiaee ieco ao?eeueii? eieiie (EIAE).

3. ?ic?iaea iaoiaeeee i?iaeooaaiiy i?io?e?a aeiaeaoeiaeo noiaao??a oa
EIAE aeey ?aae?caoe?? i?iaeoiiai ii/aoeiaiai eooa caao?thaaiiy.

4. ?ic?iaea iiaeo oaoi?ei-oaoiieia?/ieo ? eiino?oeoi?nueeeo ??oaiue oa
iioeiaeueieo eiino?oeoe?e naa?aeeiaei c aeiaeaoeiaei noiaao?ii.

5. I?iieneiaa ia?aa??ea aoaeoeaiino? aaeineiiaeaii? oaoiieia??
a?aeiiaeaiiy naa?aeeiaei caao?thaaiiyi aeiaeaoeiaeo noiaao??a.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a.

1. Aia?oa ?ic?iaeaii iaoaiaoe/io iiaeaeue oaoiieia?/iiai i?ioeano
caao?thaaiiy aeiaeaoeiaiai noiaao?a o naa?aeeiaei? /a?ac “a?eii” a
ianaaei?e eieii?, cai?iiiiiaaii aeai?eoi ?? ?aae?caoe?? ? aeiaaaeaii
ooieoe?iiaeueio caeaaei?noue i?ae ii/aoeiaei eooii caao?thaaiiy
aeiaeaoeiaiai noiaao?a, aeiaaeeiith “a?eia” oa EIAE aeey ao??iiy.

2. Iaa?oioiaaii aaee/eie a?aie/ii aeiionoeieo eoo?a caao?thaaiiy
aeiaeaoeiaeo noiaao??a a caeaaeiino? a?ae i?oei?nieo oa?aeoa?enoee ?
oeii?ici???a ao?eeueieo, iaaaaeiaieo ? ianaaeieo o?oa, ui
aeei?enoiaothoueny a oaoiieia?/ieo i?ioeanao ao??iiy ? e??ieaiiy
aeiaeaoeiaeo noiaao??a.

3. Io?eiaii caeaaeiino? aeey iioei?caoe?? oaoiieia?? ae??caiiy “a?eia”,
eiino?oeoe?e ?aeaa?a, eeeiiaiai a?aeoeethaa/a ? EIAE.

4. ?ic?iaeaii iaoiaeeee i?iaeooaaiiy i?io?e?a oa iioeiaeueieo
eiino?oeoe?e naa?aeeiaei c aeiaeaoeiaei noiaao?ii.

5. ?ic?iaeaii aeey iioei?caoe?? oaoiieia?/ieo i?ioean?a iia?
eiino?oeoe?? o?eieiueiiiai eeeiiaiai a?aeoeethaa/a, noa?e/iiai ?aeaa?a ?
?icoe?yth/iai aenoeaio?e/iiai eiiaoaaiai nooi?i/anoiai aeieioa oeio
AeAEN.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. I?aeoe/ia oe?ii?noue
?iaioe iieyaa? a oiio, ui i?iaaaeai? aeine?aeaeaiiy noaiiaeyoue aaco
aeey iaoeiai iaa?oioiaaiiai i?iaeooaaiiy oaoi?ee ? oaoiieia?e
a?aeiiaeaiiy naa?aeeiaei caao?thaaiiyi aeiaeaoeiaeo noiaao??a /a?ac
“a?eii” a ianaaei?e eieii?.

?ic?iaeai? iaoiaee/i? ?aeiiaiaeaoe?? aeicaieythoue ca caaeaiei
i?iaeoiei ii/aoeiaei eooii caao?thaaiiy aecia/eoe iioeiaeuei? ia?aiao?e
“a?eia” a ianaaei?e eieii?, eeeiiaiai a?aeoeethaa/a, EIAE aeey ae??caiiy
“a?eia” ? ao??iiy aeiaeaoeiaiai noiaao?a oa ioe?ithaaoe i?io?aei?noue
/a?ac “ a?eii” ianaaeieo o?oa aeey e??ieaiiy aeiaeaoeiaiai noiaao?a.

Cai?iiiiiaai? iia? oaoi?/i? caniae (o?eieiueiiee eeeiiaee a?aeoeethaa/,
noa?e/iee ?aeaa?, aenoeaio?e/ia eiiaoaaa nooi?i/anoa aeieioi AeAEN) oa
iaoiaeeee i?iaeooaaiiy i?io?e?a ? eiino?oeoe?e aeiaeaoeiaeo noiaao??a
aeathoue ciiao i?aeaeueoe aoaeoeai?noue ?ia?o c a?aeiiaeaiiy naa?aeeiaei
c aenieoaoaoe?eieie eieiiaie ae?aiao?ii 168,3 ; 146 ; 139,7; 127; 114,3
ii. Iniaeeai oe?iiei ? oni?oia i?aeoe/ia ae??oaiiy i?iaeaie e??ieaiiy
aeiaeaoeiaiai noiaao?a “oainoiaeeii” ae?aiao?ii 114,3 ii a
aenieoaoaoe?ei?e eieii? ae?aiao?ii 146 ii.

Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe ai?iaaaeaeai? i?e
a?aeiiaeaii? naa?aeeiaei ia ?iaeiaeuao AAO ”Oe?iaooa”, AI
”Oaaeaeeeiaooa”, AI “Aa?eiaai-iaooiaac” oa i?e ao??ii? naa?aeeiaei o AI
“I?eeani?eao?iaooa”.

Iniaenoee aianie caeiaoaa/a. I?iaaaeaii aiae?c ?nioth/eo oaoiieia?e ?
oaoi?/ieo cania?a c a?aeiiaeaiiy naa?aeeiaei caao?thaaiiyi aeiaeaoeiaeo
noiaao??a. ?ic?iaeaii iaoaiaoe/io iiaeaeue i?ioeano caao?thaaiiy
aeiaeaoeiaiai noiaao?a /a?ac ”a?eii” a ianaaei?e eieii? oa aea/aii
iniiai? caeiiii??iino? oaoiieia?/iiai i?ioeano. ?ic?iaeaii iaoiaeeee
iioei?caoe?? oaoiieia?? ae??caiiy “a?eia”, eiino?oeoe?e ?aeaa??a,
eeeiiaiai a?aeoeethaa/a ? EIAE. Cai?iiiiiaaii eiino?oeoe?th noa?e/iiai
?aeaa?a, eeaneo?eaoe?th i?io?e?a oa iioeiaeuei? eiino?oeoe?? naa?aeeiaei
c aeiaeaoeiaei noiaao?ii. Aeeiiai? ?iaioe c aiae?co oa ioe?iee
aoaeoeaiino? ai?iaaaeaeaiiy ?acoeueoao?a aeine?aeaeaiue o ae?iaieoeoai.
I?iaaaeai? ?iaioe aeeiiai? caeiaoaa/ai iniaenoi 1, 2, 9, 10.

O ni?ai?aoe? c ?ioeie iaoeiaeie aeine?aeieeaie: i?e ?ic?iaoe?
eiino?oeoe?? o?eieiueiiiai eeeiiaiai a?aeoeethaa/a 6 oa aenoeaio?e/iiai
eiiaoaaiai nooi?i/anoiai aeieioa AeAEN 7, 8 caeiaoaa/ai iniaenoi
?ic?iaeai? iaoiaeeee aeai?o eiino?oeoeaieo ? oaoiieia?/ieo ia?aiao??a ;
4, 5 — iniaenoi aeine?aeaeai? caeiiii??iino? i?e?iaeiiai aee?eaeaiiy
naa?aeeiaei oa iiaoaeiaai? aaeoi?i? ae?aa?aie; [3] — iniaenoi
iaa?oioiaai? e?eoa??? aeai?o i?io?e?a noiaao??a naa?aeeiaei c
a?aooaaiiyi niiniao aenieoaoaoe?? naa?aeeiaei; i?e ??aiii?aai?e o/ano?
?ic?iaeai? ?ino?oeoeai? aeieoiaioe [11, 12]. I?aeoe/i? ?iaioe c
a?aeiiaeaiiy naa?aeeiaei caao?thaaiiyi aeiaeaoeiaeo noiaao??a a
aenieoaoaoe?eieo eieiiao ia ?iaeiaeuao Oe?a?ie caii/aoeiaai? c
?i?oe?aoeae e.o.i. A.O. ??aiaiei oa ?iae. A.A. E?niaiai c o/anoth
caeiaoaa/a.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? iieiaeaiiy
aeena?oaoe?eii? ?iaioe aeiiia?aeaeenue oa iaaiai?thaaeenue ia:
iaoeiai-oaoi?/ieo ?aaeao AAO ”Oe?iaooa”, AAO ”Oe?IA?” —
Oe?Ae?I?IIAe?iaooa (i. Ee?a, 1986-1999 ?.?.); iaoeiai-i?aeoe/i?e
eiioa?aioe?? “I?iaeaie iaoeiai-oaoi?/iiai i?ia?ano AO ”Oe?iaooa” a
oiiaao ?eieo” (i. ?aaii-O?aie?anuee, 27-29 aa?aniy 1995?.); 5-e
I?aeia?iaei?e eiioa?aioe?? OIAA “Iaooa – Aac Oe?a?ie – 98” (i. Iieoaaa,
15-17 aa?aniy 1998?.); 2-e I?aeia?iaei?e oe?a?inueei-iieuenuee?e
eiioa?aioe?? niaoe?ae?no?a iaooiai? oa aaciai? i?iieneiaino? (i. *a?ia,
Iieueua, 20-24 aeiaoiy 1998?.).

Ioae?eaoe??. Iniiai? iieiaeaiiy aeena?oaoe?eii? ?iaioe iioae?eiaai? a
12 i?aoeyo, c ieo aea? caoeuai? aaoi?nueeeie na?aeioeoaaie ? iaeia
iaoaioii Oe?a?ie.

No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny ?c anooio,
/ioe?ueio ?icae?e?a, aeniiae?a, aeei?enoaieo aeaea?ae ? aeiaeaoe?a.
?iaioa i?noeoue 141 noi??ieo ae?oeiaaiiai oaenoo, 65 ?enoie?a, 14
oaaeeoeue, nienie aeei?enoaieo aeaea?ae ?c 117 iaeiaioaaiue oa aeaa
aeiaeaoee.

Aaoi? aeneiaeth? iiaeyeo e.o.i. A.O. ??aiaieo ? eieaeoeao i/iethaaii?
iei eaai?aoi??? AAO “ Oe?IA?” ca aeiiiiiao o ai?iaaaeaeaii? iaoeiaeo
aeine?aeaeaiue oa iaoeiaiio ea??aieeo ae.o.i. i?ioani?o ?.N. ss?ai?e/oeo
ca aeiiiiiao i?e ?iaio? iaae aeena?oaoe??th.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaii aeooaeuei?noue aeine?aeaeoaaii? i?iaeaie ? oaie
aeena?oaoe??, aecia/aii iaoo oa iniiai? iai?yiee iaoeiaeo aeine?aeaeaiue
? iiaeaii ei?ioeo caaaeueio oa?aeoa?enoeeo ?iaioe.

Ia?oee ?icae?e i?enay/aii iaeyaeo ? aiae?co iniiaieo ?ia?o a iaeano?
a?aeiia-eaiiy naa?aeeiaei caao?thaaiiyi aeiaeaoeiaeo noiaao??a.

Aia?oa a eieeoiueiio N?N? oeei iaoiaeii aoea a?ae?aiiioiaaia o 1936
?ioe? naa?aeeiaeia ? 332 o?anoo “A?oaiiaooa”. Iaea?eueo oe?ieiai
ai?iaaaeaeaiiy a 50-o ?ieao iaoiae iaaoa ia ?iaeiaeuao E?aniiaea?nueeiai
e?ath ? Aca?aaeaeaeaio. I?e oeueiio cao?aoe ia a?aeiiaeaiiy iaei???
naa?aeeiaeie aoee a 4-5 ?ac?a iaioeie, i?ae aa?o?noue ao??iiy iiai?
naa?aeeiaeie. I?ioa, c 70-o ?ie?a, o ca`yceo ?c aaiaeii a aenieoaoaoe?th
aaeeeeo iaooiaaciaeo ?iaeiaeu Cao?aeiiai Nea??o ianyae oeeo ?ia?o
cieceeenue /a?ac ??cea nei?i/aiiy o?iainoaaiiy. A oe? ae ?iee ia?aaeia?
cao?aei? iaooiaacia? eiiiai?? ?icii/aee ia?iuoaaiiy ianya?a ?ia?o oa
aaeineiiaeaiiy oaoi?ee ? oaoiieia?? caao?thaaiiy aeiaeaoeiaeo noiaao??a.
A Oe?a?i? ieaiii??ii oeeie ?iaioaie ?icii/aee caeiaoenue c 1986 ?.
A?ae?aiiioiaaii ca oeae ia??iae o?eueee 11 naa?aeeiaei.

Ca ioe?ieaie niaoe?ae?no?a AAO “Oe?IA?” iaoiaeii caao?thaaiiy
aeiaeaoeiaeo noiaao??a ia ?iaeiaeuao AAO ”Oe?iaooa” aeioe?eueii
a?aeiiaeoe a?ey 450 naa?aeeiaei, c yeeo iiaeeeai aeiaeaoeiai aeaeiaooe
a?ey 500 oen.o iaooe ia ??e i?e iaa?oue caieaeaiiio na?aaeiueiio aeaa?o?
naa?aeeiaei 3 o/ae.

A ianaaei?e eieii? naa?aeeiaeie aeiaeaoeiaee noiaao? iiaea
caao?thaaoenue ii iaei?e ?c i?eeiyoeo oaoiieia?e: /a?ac ?ioa?aae
nooe?eueii ae??caii? ae?eyiee ianaaeii? eieiie aai /a?ac ae??caia
“a?eii” a ianaaei?e eieii?. A?aoiaoth/e oaoiieia?/i? ia?aaaae,
iaea?eueoiai iioe?aiiy iaaoea oaoiieia?y caao?thaaiiy aeiaeaoeiaeo
noiaa??a /a?ac ae??caia “ a?eii” a ianaaei?e eieii?.

O ?icae?e? iaaaaeaia eeaneo?eaoe?y eeeiiaeo a?aeoeethaa/?a oa ?aeaa??a
aeey ae??caiiy “a?eia” a ianaaei?e eieii?. Ia i?aenoaa? aiae?co
i?iieneiaeo aeaieo c?iaeaii aeniiaie i?i a?aenooi?noue eiiieaenii?
iaoeiai iaa?oioiaaii? iaoiaee/ii? iniiae i?iaeooaaiiy eiino?oeoe?e
?aeaa??a ? eeeiiaeo a?aeoeethaa/?a oa oaoiieia?? ae??caiiy “a?eia”
caaeaieo ?ici???a.

A?aeii? /eneaii? aeiaaeee aaa??e ? oneeaaeiaiue /a?ac iaye?nia
?ic?iaeaiiy oaoiieia?/iiai i?ioeano ae??caiiy “a?eia” (iaaeo?ae ?aeaa?a
ca ianaaeio eieiio, iaiiaeeea?noue a?aeoiaeo aeiaeaoeiaiai noiaao?a a?ae
iniiaiiai, i?iaeaie i?e e??ieaii? oiui). Iniiaiith i?e/eiith aeieeiaiiy
aaa??eieo neooaoe?e ? iaiaa?oioiaai?noue ?ici???a “a?eia” ? oaoi?/ieo
cania?a aeey eiai ?aae?caoe??. Aiae?c e?oa?aoo?ieo aeaea?ae iieaco?, ui
i?iaeai? aecia/aiiy iioeiaeueieo ?ici???a “a?eia” ? aaee/eie ii/aoeiaiai
eooa caao?thaaiiy aeiaeaoeiaiai noiaao?a oa eiiieaeniiio i?iaeooaaiith
oaoi?/ieo cania?a aeey ?o ?aae?caoe?? i?eae?eaii iaaeinoaoiuei oaaae.
I?iaeaia, a iniiaiiio, ae??ooaaeanue aii??e/ii aai c a?aooaaiiyi
?aa?iiaeueiiai i?iieneiaiai aeina?aeo.

Aiae?c oaoi?ee ? oaoiieia?? ao??iiy oa e??ieaiiy aeiaeaoeiaeo noiaao??a
iieaco?, ui aeaia ieoaiiy oaeiae iio?aao?. aeiaeaoeiaiai aea/aiiy, a
?nioth/? iaoiaee/i? iniiae aeai?o eiino?oeoe?e ? i?io?e?a aeiaeaoeiaeo
noiaao??a oa ii?iaei?oei?aiiai ?ino?oiaioo aeey ?aae?caoe?? iioeiaeueieo
eiino?oeoe?e aeiaeaoeiaeo noiaao??a aeiaaathoue oaeineiiaeaiiy.

Iaaaaeaia aeua iaa?oioiao? iaiao?aei?noue i?iaaaeaiiy aeine?aeaeaiue c
aaeineiiaeaiiy iaoiaeee i?iaeooaaiiy oaoi?ee ? oaoiieia?? ae??caiiy
“a?eia”, ao??iiy ? e??ieaiiy aeiaeaoeiaiai noiaao?a.

O ae?oaiio ?icae?e? aeine?aeaeothoueny e?eoa??? aeey i?iaeooaaiiy
oaoi?ee ? oaoiieia?? a?aeiiaeaiiy naa?aeeiaei iaoiaeii caao?thaaiiy
aeiaeaoeiaeo noiaao??a /a?ac “a?eii” a ianaaei?e eieii?.

Ia i?aenoaa? aiae?co aaa??eiino?, i?iieneiaeo aeaieo i?i i?io?aei?noue
eieii o?oa /a?ac “a?eii” a ianaaei?e eieii?, oai??? aeaoi?iaoe?? o?oa
i?ae ae??th iicaeiaaeiuei-iiia?a/ieo iaaaioaaeaiue iaie c?iaeaii
aeniiaie i?i iaiao?aei?noue a?aooaaiiy neeiai? aca?iiae?? eieiie o?oa c
ianaaeiith eieiiith o “a?ei?”. Oa?aeoa? oe??? aca?iiae?? cia?aaeaiee ia
?ic?aooieia?e noai? ?en. 2.1, aea AA — inueiaa e?i?y aeaiooi? /anoeie
eieiie o?oa ; U, P, Q — neee ?aaeoe?? ianaaeii? eieiie a?aeiia?aeii a o.
A, N, A; G — inueiaa iaaaioaaeaiiy ia eieiio o?oa; L — aeiaaeeia
aeaiooi? /anoeie eieiie o?oa; a — aeiaaeeia “a?eia” a

ianaaei?e eieii?; a — cai?oiee eoo naa?aeeiaeie; — eoo iiai?ioo ieco
aeaiooi? /anoeie eieiie o?oa i?e aeoiae? c “a?eia” ; — aaaa iaeeieoe?
aeiaaeeie eieiie o?oa; , — a?aeiia?aeii i?iaei eieiie o?oa a ieaei?e ?
aa?oi?e /anoei? “a?eia”; — in? eii?aeeiao; — eii?aeeiaoe
aeia?eueii? o. Ae1, ?ici?uaii? i?ae o. A ? o. Ae.

??aiyiiy iiiaio?a aeey aeia?eueii? o. Ae1 caieoaoueny o aeaeyae? :
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(2.1)

aea E I – aei?noe?noue o?oa.

Aeey ??oaiiy ??aiyiiy (2.1) i?eeiyoi iaea?eueo c?o/iee iaoiae
iiaoi?thaaiue, yeee aea? caaeia?euei? ca oi/i?noth ?acoeueoaoe. A yeino?
ii/aoeiaeo ai?ieneioth/eo ooieoe?e i?eeiyo? ae?ace:
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 (2.2)

?ica`yceii oiiae (2.1) ? nenoaia c /ioe?ueio ??aiyiue, yea ?c
aeiaeaoeiaeie o?ueiia ??aiyiiyie (a?aie/ii aeiionoeiiai caeiath/iai
iiiaioo a iaea?eueo iaaaioaaeaiiio ia?a??c? eieiie o?oa o aa?oi?e
/anoei? “a?eia” , a?aie/ii aeiionoeiiai ?icaaioaaeaiiy eieiie o?oa i?e
i?ioiaeaeaii? /a?ac “a?eii” ? a?aie/ii aeiionoeiiai iiiaioo O? ia
iiaeieaiiy nee iii?o iaa?oaiith eieiie o?oa o “a?ei?”) yaeythoue niaith
iaoaiaoe/io iiaeaeue i?ioeano caao?thaaiiy aeiaeaoeiaiai noiaao?a /a?ac
“a?eii” a ianaaei?e eieii?.

Aeey i?aeoe/ieo caaea/, a oaeiae aeey aecia/aiiy oa?aeoa?o caeaaeiinoae
?ic?aooieiaeo aaee/ei a?ae aeo?aeieo aeaieo iaie aeeiiai? ?ic?aooiee ia
IAII aeey iaea?eueo ?iia??ieo a i?aeoeoe? caao?thaaiiy aeiaeaoeiaeo
noiaao??a eiia?iaoe?e d i D. ?acoeueoaoe ?ic?aooie?a iiaeai? o aeaeyae?
a?ao?e?a ooieoe?iiaeueieo caeaaeiinoae a = f(; L= f (; N= f (; ? = f
(; U = f (; = f (, i?eeeaae yeeo aeey D = 146 ii ci-a?aaeaiee ia ?en.
2.2 (aea N — noia?ia neea i?eoeniaiiy eieiie o?oa o “a?ei?”).

Ca aeiiiiiaith ?ic?iaeaii? iiaeae? ae??oai? oae? oaoiieia?/i? caaea/?:

1. Aecia/aiiy aeiaaeeie “a?eia” aeey ?aae?caoe?? i?iaeoiiai i?io?eth
aeiaeaoeiaiai noiaao?a ?c ooieoe?iiaeueieo ni?aa?aeiioaiue:

a = f (a i?e a = f (A) , (2.3)

aea A — i?iaeoia ai?eciioaeueia a?aeoeeaiiy aeaith aeiaeaoeiaiai
noiaao?a a?ae oi/ee caao?thaaiiy; a — ii/aoeiaee eoo caao?thaaiiy, yeee
a?aeiia?aea? eooo iiai?ioo ieco aeaiooi? /anoeie EIAE iaae aeieioii.

2. Aecia/aiiy nee, ui ae?thoue ia ?aeaa? ? aeieioi a iiiaio aeoiaeo
c “a?eia” c ooieoe?iiaeueieo ni?aa?aeiioaiue :

U pmax = f (a, EI) ? U ae max = f (a, EI) ,
(2.4)

aea U p max , U ae max — a?aeiia?aeii iaeneiaeueia aieiaa
iaaaioaaeaiiy ia ?aeaa? ? aeieioi a iiiaio aeoiaeo ca ianaaeio eieiio c
“a?eia”.

3. Aecia/aiiy a?aie/ii aeiionoeieo cia/aiue eoo?a iiai?ioo [T
iaaaaeiaieo, ao?eeueieo ? ianaaeieo o?oa i?e aeoiae? c “a?eia” c
ooieoe?iiaeueiiai ni?aa?aeiioaiiy :

[ T = f ([ T ) . (2.5)

?ic?aoiaai? aaee/eie aeiionoeieo eoo?a iiai?ioo[T iaaaaeai? a oaae.
2.1.

Oaaeeoey 2.1

Aeiionoei? aaee/eie eoo?a [T

Ianaaei? (ao?eeuei?) o?oae IAO[T a?oia i?oeiino? ia?ea
noae?a?aae.AeEAEI?AeE(36A)40OI38OI6,27,27,58,28,810,16,26,88,28,8 4.
Aecia/aiiy oiia aacaaa??eiiai nioneo ianaaeii? eieiie o?oa
(“oainoiaeea”) /a?ac “a?eii” i?e e??ieaii? aeiaeaoeiaiai noiaao?a ?c
ooieoe?iiaeueieo ni?aa?aeiioaiue:

T

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