METHOD OF THE CONTROLLED CURRENT REGULATION INDUCED POLARIZATION METODA KONTROLOVANÉ REGULACE PROUDU VYNUCENÁ POLARIZACE - PDF

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ETHOD OF THE CONTOED CENT EGATION INDCED POAIZATION ETODA KONTOOVANÉ EGACE POD VYNCENÁ POAIZACE Fršk yšvý Abrc Th ppr rur o h wll-loggg hod d h corolld curr rgulo bfor d lr bdod. Thory of h hod ppld o

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ETHOD OF THE CONTOED CENT EGATION INDCED POAIZATION ETODA KONTOOVANÉ EGACE POD VYNCENÁ POAIZACE Fršk yšvý Abrc Th ppr rur o h wll-loggg hod d h corolld curr rgulo bfor d lr bdod. Thory of h hod ppld o h rl focud lcrc fld for h ducd polrzo. Thr c b ufcurd wo vr of qup; h fr rgrg h c chrgbly of rock d h cod bg bl o rcord h lcv chrgbly of rock. For boh bov vr hr xpld hory of rpro oo. Th uggd procdur vluo of h hod ll w d dffr of h old procdur by h go hrough prl co chrcrzg lcrod rry. Th c b xcly coud wh k pobl o clbr rcord drcly chrgbly. Abrk To prác vrcí k kroáží od pojové dív jko od korolové rgulc proudu pozdj l opušé. Tor ody j plková rálé uré lkrcké pol používé pro vyucou polrzc. Zízí ž prcov v dvou vrách: prví z ch rgruj ckou polrzovlo hor druhá ž rgrov lkví polrzovlo hor. Pro ob vry j rovž vyvl or rprc. Nvržý poup vyhodocí éo ody j zcl ový lší od rého poupu í ž používá dílí koy kré chrkrzují upoádáí lkrod hlubé ody. Tyo koy j ožo p poí což bou ž ž klbrov kroáží zázy pío v polrzovlo prodí. Kyword ducd polrzo focud lcrc fld c chrgbly lcv chrgbly wll-loggg Klíová lov vyucá polrzc uré lkrcké pol cká polrzovlo lkví polrzovlo kroáž Iroduco I w AŠIAK I. 968 d 969 who hd prd h prcpl of h corolld curr rgulo bd o h lcrcl focud fld for rgro of ducd polrzo. Th od prcpl w wdr d hd b ppld o oly for ducd polrzo bu oo for rolog crolrolog d for rgro of c d lcv SP-pol AŠIAK I. 968 d 969 pd o ply h od hod for rgrg rolog. H urd four o-focud rvy curv h wr copurzd fr h bfor lgorh. Th fl curv w coprd o h rl rvy curv of rolog. Howvr h w o uccful. Th w bd rul dg o bdo of copurzg of h fl rvy curv d h hod of h corolld curr rgulo oppd for ug. I p of h h prcpl of h corolld curr rgulo r prly rg bcu hory k pobl h coruco of w qup hvg rl focug of h lcrc fld d rpro of d rcordd wh h qup oo. Th of h ppr pplco of hory of h corolld curr rgulo o h hod of ducd polrzo d o ruc w wy h old prcpl pld h 6 - of l cury by AŠIAK I. 968.Th wll-loggg hod ubl for y ud bcu ul vrully rplc of rl ud by h boluly o-coducv ud for ch uch ur. I k pobl o rgr h chrgbly dg o h chrgbly of o-vdd zo whou fluc of h rock rvy wh hold codo N = Thory of hod Covol lcrod rry hory d rpro h b dl dcrbd ppr YŠAVÝ F. whr r oo rfrc o x ppr of Czch d forg gophyc who vgd h IP-hod. Th of h ppr o ply prcpl of h hod corolld curr rgulo o ducd polrzo. I why I u w lcrod rry wll w hory h dffr of h ud YŠAVÝ F.. Th bc fc focug of lcrc fld ul ud rplc. Th rl ud rplc would b vry xpv. Th vrul o vry ffcv. I pobl o ul hr boluly coducv ud or boluly o-coducv. Iplco of focug of lcrc fld for h chrgbly rgro por ly wh hold codo N =. dr h codo pobl coplly o l fluc of ud B N E E N A A N E Fg. Th rry of h lcrod ool for h hod of ducd polrzo ug h prcpl of h focud lcrc fld; fr rušk I. 968 d 969 vo zo d djc bd o ur of h chrgbly for vry ur. Th rgrd chrgbly uch c d o h rl chrgbly of o-vdd zo o-ffcd wh h rvy of roud vro. I hold for y rl ud hvg y rvy. Focug lcrc fld o codo N = pr f you hv rplcd h rl ud wh vrul boluly o-coducv ud hvg fy rvy. I hold for ch of ur borhol. Th curr coour r prpdculrly o h rock wll; fro rl ud clo o h ud o ol b. Th wll-loggg rcord phz h h lyr lk r h col or h uru bd dpod dry rock. or chpr 6 forul 33 Th rg po h rry of lcrod prd fg.. For h focud lcrc fld hold h h lcrc coour gog ou of curr lcrod dod A d A curr lcrod r o h borhol wll lo prpdculrly. Th provdd by h gurd lcrod E d E. Th lcrod rry lr o h rry of 7-lcrod rolog. Howvr hr h cr o h curr lcrod A bu pol lcrod. Th curr lcrod A d A r rd bw pol lcrod N d N. I h dffrc copro o 7-lcrod rolog. Th gurd lcrod E d E r g lk h our. Th lcrc fld b dffr h h c of h 7-lcrod rolog. Th coour of h fdg curr I A flow o lcrod E d E whr r curvd up o uch dgr h go prpdculrly o h borhol wll howvr h cr roud lcrod b ohr uo. Hr h curr coour flowg fro lcrod A d A go g o ohr. I look h roud lcrod lcrc fld of h curr I A loclly ld. Th rgulv curr I E flow hrough ud prlllly o h borhol wll fro lcrod E d E o lcrod A d A. Thr curvd d o go prpdculrly o h borhol wll. I h do o rch h pc do roud lcrod. Sply pkg h fl lcrc fld roud h bfor lcrod dlud. Th curr coour r hr fr fro o ohr or coplly r o. gro of ducd polrzo rc o h curr pul rock. Th fr p co of h rcgulr curr pul o h our vro. Th volg of uch pul urbl. Elcrc curr dod I A flowg hrough A A d B lcrod u b blzd. Th cod p h curr cu.. hold h I A = wh h I E = oo. Th you wll rgr h volg bg bw lcrod d lcrod N or N; ru fr or cod vr. Cocurrly hold h h rgulo d wh h hlp of h rgulv curr dod I E flowg hrough E E d E lcrod. I z drcd by hr codo h N = h fr vr of rgro for h c chrgbly of rock or h N = h cod vr for rgro of h lcv chrgbly of rock. Th rgulv curr I E c ychroouly wh h curr I A h prodclly cu. Th rgulv curr for h focud lcrc fld d ulouly kp codo of rgulo; hr N = or N =. Trology h c chrgbly d h lcv chrgbly h crd fr logy rgrg c d lcv SPpol whr dcl codo for h curr rgulo r. I w h ro 3 gro of h c chrgbly of rock SIP o codo h N = Th fr vr of h chcl qup. Volg crg o lcrod d N followg: I A I E d k A k E I A I E N. k AN k EN Boh quo c b djud o h for: I A k A I E d k A k E I A 3 I A k AN I E N. k AN k EN I A 4 Now d o df h coffc of focug for h lcrc fld whch dod. Th wll b pov you wll hv lr. I E. I A 5 Th rgulv curr I E drd hk o quo 5: I E I A. 6 Th fudl codo of rgulo for h yp of rgro N =. Equo 6 wll b ud h quo d d you h x for of ho forul: I A d k A k E 7 N I A. k AN k EN 8 Th coffc of focug clculd for codo h hold N =. You rcv h:. k A k E k AN k EN 9 Th h quo dd for clculo of AN E A EN k k k k. For rgulv curr I E hold h quo: I E I A k AN k A I. A k E k EN W rgr volg bg bw lcrod borhol d lcrod N o h urfc of rh o codo h N =. Th volg crd by polrzo proporol o h volg of h our polrzg fld dod. A h o wh h our polrzg fld do o ffc.. I A = you rgr h lcrc fld of polrzo fr forul flucd by bfor cg h volg fr forul 3 whch hd crd h ju rgrd fld of polrzo hvg volg. No pl h boh od volg r dpd o rvy of rock. d k A k E I A k A 3 whr = h volg of h our polrzg fld [V] d = h volg crd du o h polrzo fld [V]. Th curr dod I A u b blzd. Th c chrgbly of rock dod dfd follow: SIP. 4 Th chrcrc SIP dol. Owg o forul 4 hr ll ld fluc of rvy of rock. Now w hll u forul whch u b djud d for lk h: SIP k A. 5 k E You c u h x ubuo d h vry por co bg dod K SIP : k A k E. k AN k A K SIP 6 k E k A k E k EN lo 5 d o h fl dju: SIP SIP K SIP 7 SIP whr = h c chrgbly of rock = h rl chrgbly of rock d K SIP = h dol co of h lcrod ool. Th chrcrc SIP c b rgrd drcly bcu you c clbr chrgbly wh h hlp of ro of wo volg. I ppr fcor h rgrd. Thk o forul 7 you c vry f dr h rl chrgbly. Co K SIP dol copro o prl co bg dol []. Th co K SIP d c b xcly urd d bcu h curr I A rgrd pr h h z of h rgulv curr I E xcly urd wll. Th c chrgbly rgr h borhol co dl; h vry h bd r wll vbl. 4 gro of h lcv chrgbly of rock SIP o codo h N = Th h cod vr of h chcl qup. W hv g o u quo 3 d 4 for d N. Boh quo c b djud lk h: I A k A d k A k E 8 I A k AN N. k AN k EN 9 Th codo of rgulo for h vr h N =. Thk o h od codo you wll ob rlo: k AN. k EN Th h fudl quo for clculo of. Th coffc of focug h followg: k EN k AN. Th coffc gv.. hold h . Bcu hold h h rgulv curr I E wll b gv oo. Th curr I E flow oppo drco h for h curr I A. I pobl o wr: I E k EN I A I A. k AN - 3 - Th rlo rul fro quo 5. I h vr you hll rgr oo h volg fr forul 8; howvr h volg dffrc bg bw lcrod d N o codo h N =. d k A 3 k E I A. 4 k A Thu you wll g forul dod 5 d 6. Hr g ld fluc of rvy of rock. SIP K SIP d k A k E...for. k AN K SIP K SIP 6 k E k A k EN whr SIP = h lcv chrgbly of rock = h rl chrgbly of rock K SIP = h dol co of h lcrod ool = h volg of h our polrzg fld [V] d = h volg crd du o h polrzo fld [V]. A forul 6 w hll do hor op. You od h quo follow codo h K SIP . I dffcul o cocv h h co of h lcrod ool gv. Howvr hclly c b. All prl co k A k AN k E d k EN u b oly pov. If hy r o wll b crly rror. Algorh of coug for K SIP y h grlly hold K SIP oo. I bou h cr lcrod rry of ool d gv co. I c b our xpro of o hdd phoo whch c b rl. foruly I dd o fd xplo wh w d why c b. Thrfor I pld codo K SIP d ll gv vlu I xclud. Th codro hold grlly for ll hod of h corolld curr rgulo. Elcrc fld ford wh h curr coour of I A wd bcu lcrod A A d E E ll hv h chrg. Th coour go prpdculrly o h borhol wll. Elcrc fld of h rgulv curr I E ohr. Th curr coour go ou fro E d E d flow by ud o lcrod A d A h curv h up o uch dgr hy go prpdculrly o h borhol wll. Thy hv h drco lk ho blogg o curr I A. Th coffc of focug pov. I c h h coffc gv h coour of I E go g ho of I A. Thy xd fro h borhol wll owrd lcrod A d A. Th hy r curvd d flow 5-3 - hrough ud o boh gurd lcrod E d E. Of cour boh lcrc fld uprpo d h rul fl lcrc fld. yb owhr hr c b xplo why h co of ool dod K SIP gv. Th coffc of focug wll b dffr copro o h forr o for. Th pr w hv vrou co K whch dol d h rgulv curr I E dffr oo. W rgr volg dffrc bg bw lcrod d lcrod N boh r h borhol o codo h N =. Th h dffrc o h fr vr of rgro. SIP 5 Grl foro dcrbg co dod k A k E k AN d k EN Th co dr fcor of hghr dgr lk r: h co K SIP / K SIP d h coffc of focug. Boh bov fcor ffc clculo of h chrgbly d oo h rgulv curr I E. Th lowr co r dpd o gory.. o dc bg bw cr of h curr d pol lcrod dod pcg d o h for d do of lcrod wll. For h hod of ducd polrzo h urfc of lcrod l of cyldr. Clculo d du o ulpl gro of corbuo of h po curr ourc bg o h urfc of lcrod. Th h hvg b publhd rlr YŠAVÝ F. 3. A you fg. curr d pol lcrod r o dcl h why hr r vld h forul: SIP SIP F F k 7 l l 8 F 8 F Argh Argh 6 9 whr = dc bg bw boh cr of h curr d pol lcrod [] = lgh of h curr lcrod [] = lgh of h pol lcrod [] = dr of h ool body [] = dr of h curr lcrod [] d = dr of h pol lcrod [] Th bov forul r ud for coug of prl co dod k A k AN k E d k EN. Thy c b vry xcly coud. For ohr lcrod rry wh h curr d pol lcrod r dcl you c u forul dfd YŠAVÝ F. 3 olvg uch prl lcrod. Wh furhr vry por plg of gd lcrod o xclud fluc of lcrod pol crg wh h urfc of llc lcrod co coc wh ud. For gd lcrod of cyldrcl yp you c u h forul: k k 3 F F Th forul fro ppr YŠAVÝ F. 6 whr r dcrbd dffr yp gd lcrod d xpld prcpl hr cvy. 6 Dcuo ovr focug of lcrc fld You ocd oo h fvourbl codo wh N = whr wh hold h N = l fvourbl codo. I boh c you hv lcrc fld h focud howvr vr of focug r dffr. I h fr vr h curr coour r prpdculr o h borhol x d go prpdculrly o h borhol wll. Thy pr dply wrd rock d bg dc fro h wll hy r curvd d rur o lcrod B. Th cod vr offr oo focud lcrc fld. Th curr coour go oo o rock bu bcu r vly curvd oc fro r h drco bg prlll o h borhol x hy rch ly vo zo d ud. W c udy boh vr or dl. I ulz fro work SCHBEGE 989 h forul whr h publhd rlo bw pudo-c d c SP-pol. I you c u vry lr o for h ducd polrzo.. 3 Th forul c b djud h wy lk h: * 3 whr = h ud rvy [] = h rvy of djc bd [] = h rvy of vo zo [] d = h rvy of o-vdd bd [] Now w r bl o ul vrully h o-coducv ud colu hvg f rvy... Th codo por bcu k pobl ll o l fluc of ud vo zo d djc bd o ur of h rl chrgbly of o-vdd zo o-ffcd wh h rvy of h roud vro. I hold for y ud hvg y rvy. I c b wh h hlp of h lcrod rry d focug lcrc fld lwy d. I chcl hg. Equo 3 wll g h followg for:. for l N SIP 33 I h c w r pobl o cr o-coducv ud colu wh h hlp of lcrc fld focug v f h rl ud colu vrou o hghly coducv. Th rul h h c IP dpd o h roud rvy d bcu h curr coour go dply wrd rock h rgrd c chrgbly clo o h rl chrgbly of o-vdd zo. W c ly oo h cod vr. I pobl o ul vrully h boluly coducv ud colu hvg zro rvy... I hold g for y ud hvg y rvy. Th codo N = h lcrc curr coour flow prlllly o h borhol x. I f you rplcd h rl ud wh vry l wr. I h cod c; quo wll hv dfo lk h: SIP l. d for h hold f N Th v how h wh h curr coour r focud prlllly o h borhol x h rgrd chrgbly clo o h rl chrgbly of ud o op ll flucd by rv of rock d ud. A vo zo djc bd d ud oo ffc rogly h chrgbly bcu pro of lcrc fld wrd rock llr. No pl oo h h bd hvg hgh rvy wh chv coplly o r h rl chrgbly of rock lo o zro. o hy r h bd wh h hck d vry hgh rvy. I vd h h c chrgbly uch or por h h lcv chrgbly. Th why you c xpc h h cod vr wll o b oo ud. 7 Clbro of h ducd polrzo hod I Czch publc clbro of IP w uccfully olvd 7- by KESAN J H d cocr drd bld fro pv lcroc l fr h lcrc odl of vro. Sdrdzo of ur w do by copro of h gl wll-loggg rcord wh h bc drd. Th wy of clbro whch hr dcrbd ohr. I h l yr I w prd rologcl rg f u. Vry por pr of h rg w clbro of ll dol d dol chrcrc rcordd wll-loggg. Prcp of rg hd pobly o udy fro ul ud rologcl Iu for Ol Wll-oggg f. Chrgbly h r ll dol chrcrc w clbrd wh h hlp of ro bw wo volg. I crd h wy lk pl crdbl d y vlbl. I w why I ud h wy of clbro h chpr. For clbro you d o hv clbror bg h pr of qup. Th chrgbly of rock dfd h ro of wo volg. I ccordc o forul 4 d 5 :. 35 Th clbror co of wo dpd volg ourc hvg ccurly clbrd hr vlu [V]. Th oupu of clbror pr h volg ro / ulg chrgbly. Th ro pr h drd-gl for clbro. If w u lr cl o ro drd of h chrgbly ough; howvr for o-lr cl you wll d o hv ll of uch drd. Now w c df drd of h uld ppr chrgbly h rld o h cocr lcrod rry: K K K K SIP K SIP. 36 A boh volg r drd wh cr ccurcy h uld chrgbly dod wll hv ccurcy oo. I o wy pobl o dr h rror of clbro. Dflco dod l wrg o you g fr h forul: l 37 whr = h p of lr cl [ / c] d l = dflco rflcg vlu of lo [c] Vrfco of h volg ro / go hrough h corol of boh volg d. Th hv hr xc vlu d h cofdc rvl. Th corol you d wh hghly prc gug. Th rulg vlu u b d of h cofdc rvl. Th x por p vrfco of ll qup cludg h lcrod ool oo. Vrfco d h p hvg frh wr d bg of bg rdu ough. Th frh wr pr h codry lo of h chrgbly. Th lo drvd fro h prry lo of clbror. Du o rgro by boh lcrod ool w r bl o pcfy h cofdc rvl of h llowd dflco frh wr. Th wr vro llow o corol bly of h bov rvl wh d o dr w vlu wh h hlp of h prry lo of clbror. Th f h qup wll-djud dflco frh wr wll b h cofdc rvl of llowd dflco. 8 Cocluo Th prcpl of h corolld curr rgulo bd o xc of h rl focud lcrc fld bl u o rgr h chrgbly of rock by h hod of ducd polrzo. gro c b d wh wo wy prg ch of h b vrou lcrc crcu fr codo of rgulo. Thory d by AŠIAK I. 968 d 969 hold wll vrhl cr dju hd o b d. Hr r cocluo rulg fro h forr ly: Th chcl coruco pr wo dffr crcu of h qup. Ehr w rgr h c chrgbly of rock wh h hlp of codo h N = or w rgr h lcv chrgbly of rock wh hold h N =. Boh vr hv fcor lk h co of h lcrod ool K d h coffc of focug. Boh fcor r dol. Boh fcor K d r ford by prl co of lowr dgr dod k A k E k AN d k EN. Thy dpd o gory gv by lcrod pcg d do of lcrod. Th z d drco of flowg of h rgulv curr I E drd by fcor. Th bov curr prodclly cu lk for h fdg curr I A. Th dpcd ool fr AŠIAK I. o h oly ool for rgrg hod of ducd polrzo. You c u for xpl h ool hvg 9 lcrod lk uhor GOZH N. d HI X. 9 who ud uch ool for rcordg h c d lcv SP-pol. Ad h 9-lcrod ool c b ud for rcordg of rolog. Th od of ur for ch of hod chrcrc d dffr o ohr. frc AŠIAK I. Prcp korolrovoj rguljc ok ogolkrodych krožych zodov. á žá gofyzk AŠIAK I. TŽKÝ A. JONÁŠOVÁ V. Prcp korolrovoj rguljc ok ogolkrodych krožych zodov. á žá gofyzk GOZH N. d HI X. Sc SP ur ool d fld pplco Juyu Ergy Tchology Copy Bjg Ch prd o Aul oggg Sypou Th Woodld Tx Ju 4 9 KESAN J. Vývoj lgor pro koplxí rprc ílcov zpých kroážích í. Epová zpráv z rok 973 SP Gologcký przku brc Hr u ké ípy YŠAVÝ F. hod of h corolld curr rgulo rolog EGSE Jourl vol.xx o. 3 p YŠAVÝ F. Iducd Polrzo Thory d Irpro of Wll-loggg D EGSE Jourl vol.xix o. p YŠAVÝ F. Elo of h Elcrod Pol for Wll-loggg lcrc cro-y Trco of h VŠB Tchcl vry of Orv Cvl Egrg Sr No. Vol. VI 6 p.37 4 YŠAVÝ F. hod of h corolld curr rgulo clculo of prl co for cyldrcl lcrod EGSE Jourl vol.xx o. 3 p.86-3 SCHBEGE og Irpro Prcpl /Applco Schlubrgr Wll Wrl & Tg Sugr d 989 Auhor NDr. Fršk yšvý í Hodoí Czch publc
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