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VREDNOTENJE PREMEŠýANJA SEDIMENTOV NA PODLAGI PODATKOV O ZAPOLNJENOSTI

HUDOURNIŠKIH PREGRAD

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VREDNOTENJE PREMEŠýANJA SEDIMENTOV NA PODLAGI PODATKOV O ZAPOLNJENOSTI

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ESTIMATION OF THE SEDIMENT TRANSPORT BASED ON VOLUME OF SEDIMENT RETAINED

BY CHECK DAMS

doc. dr. Nejc Bezak ______________________

viš. pred. dr. Jošt Sodnik

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BIBLIOGRAFSKO-'2.80(17$&,-6.$675$1,1,=9/(ý(.

UDK: 627.82(043.2)

Avtor: Luka Prezelj

Mentor: doc. dr. Nejc Bezak

Somentor: viš. pred. dr. Jošt Sodnik

Naslov: 9UHGQRWHQMH SUHPHãþDQMD VHGLPHQWRY QD SRGODJL SRGDWNRY R

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BIBLIOGRAPHIC-DOCUMENTALISTIC INFORMATION AND ABSTRACT

UDC: 627.82(043.2)

Author: Luka Prezelj

Supervisor: Assist. Prof. Nejc Bezak, PhD.

Co-supervisor: Sr. Instr. Jošt Sodnik, PhD.

Title: Estimation of the sediment transport based on volume of sediment retained by check dams

Document type: Graduation Thesis

Notes: 44 p., 6 tab., 31 ILJ7 eq., 1 ann.

Keywords: check dams, bed load, suspended load, sediments, transport, VHGLPHQWEXGJHWHURVLRQLPSDFWIDFWRUV586/(0HOWRQQXPEHU Abstract

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3ODYLQHODKNRUD]GHOLPRYGYHVNXSLQL3UYDVNXSLQDVROHEGHþHR]LURPDVXVSHQGLUDQHSODYLQH 9WRVNXSLQRãWHMHPRYVHGHOFHNLVRGRYROMPDMKQLGDOHEGLMRYYRGQHPWRNXLQVR]DWRUHGNR YVWLNX]GQRPVWUXJH7LGHOFLVRQDMYHþNUDWYHOLNRVWQHJDUD]UHGDJOLQHLQPHOMDJLEOMHMRSDVH YHþLQRPD V KLWURVWMR YRGQHJD WRND 5XVMDQ LQ 0LNRã 3ULVRWQRVW OHEGHþLK SODYLQ MH SRVOHGLFDSRYUãLQVNHJDVSLUDQMD]HPOMLQLQSRY]URþDNDOQRVWPRWQRVWGDVHQHYLGLUHþQHJD GQD3R]QDPRQDUDYQRNDOQRVWNLMHSULVRWQDREQRUPDOQLKSUHWRNLKWHUSRSODYQRNDOQRVWNL SDMHSULVRWQD]JROMRESRYHþDQLKSUHWRNLK3ULSRSODYQLNDOQRVWLYYRGQHPWRNXOHEGLMRWXGLYHþML GHOFLSHVNRYNLSDVHREQLåMLKSUHWRNLK XVHGHMRQD]DMQDGQRYRGRWRND'UXJDVNXSLQDSODYLQ VRULQMHQHSODYLQHWHSUHGVWDYOMDMRYHþMHGHOFHNLVH]DUDGLVYRMHYHOLNRVWLYHþLQRPDSUHPLNDMR DOL SRVNDNXMHMR SR UHþQHP GQX 3UHWRN ULQMHQLK SODYLQ Y YRGRWRNX SUHGVWDYOMD SURGRQRVQRVW 0LNRã3UHPHVWLWYHQD]PRJOMLYRVWSDSUHGVWDYOMDQDMYHþMRNROLþLQRULQMHQLKSODYLQNLMLK

(14)

2 Prezelj, L9UHGQRWHQMHSUHPHãþDQMDVHGLPHQWRYQDSRGODJLSRGDWNRYR]DSROQMHQRVWLKXGRXUQLãNLKSUHJUDG 'LSOQDO/MXEOMDQD8/)**8QLYHU]LWHWQLãWXGLMVNLSURJUDPSUYHVWRSQMH9RGDUVWYRLQRNROMVNRLQåHQLUVWYR

MH YRGRWRN ãH VSRVREHQ SUHPHãþDWL 3URGRQRVQRVW QH PRUH ELWL YHþMD RG SUHPHVWLWYHQH ]PRJOMLYRVWL .DGDU MH GRWRN ULQMHQLK SODYLQ L] JRUYRGQLK RGVHNRY YHþML RG SUHPRVWLWYHQH ]PRJOMLYRVWLWDNRSULGHGR]DSODYOMDQMDVWUXJHVDMYRGRWRNQLVSRVREHQSUHPHãþDWLSUHVHåNRY SODYLQ 7DNUDW MH YRGQL WRN ]DVLþHQ 2EUDWQR SD SULGH GR HUR]LMH NDGDU MH SUHPHVWLWYHQD ]PRJOMLYRVWYHþMDRGGRWRNDULQMHQLKSODYLQL]JRUYRGQLKRGVHNRY0LNRã8PHãþDQMH REMHNWRYNRWVRSUHJUDGHYVWUXJRWDQDUDYQLWRNVHGLPHQWRYSUHNLQHLQVSUHPHQLUD]PHUHY YRGRWRNX

2EH VNXSLQL SODYLQ VH SUHPHãþDWD SR YRGRWRNLK NRW GHO HUR]LMVNR-VHGLPHQWDFLMVNHJD NURJD

*ODYQDJRQLOQDVLODSUHPHãþDQMDSODYLQMHYRGQLWRNNLSRJDQMDRPHQMHQLNURJ7DVHWHVQR SUHSOHWD V KLGURORãNLP NURJRP VDM VR HNVWUHPQH SDGDYLQH HGHQ L]PHG JODYQLK Y]URNRY ]D HUR]LMRLQSUHPHãþDQMHUHþQLKSODYLQ2ESRYHþDQLKYRGQLKSUHWRNLKVHWDNRSUHPHãþDMRYHþMH NROLþLQHSODYLQNDUMHãHSRVHEHM]QDþLOQR]DYRGRWRNHVKXGRXUQLãNLPL]QDþLOQRVWPLNLERGR REUDYQDYDQLYQDGDOMHYDQMXGLSORPVNHQDORJH(UR]LMVNR-VHGLPHQWDFLMVNLNURJMHVHVWDYOMHQL]

SURFHVRY VSURãþDQMD PDWHULDOD R] HUR]LMH VSLUDQMD LQ SUHPHãþDQMD SODYLQ WUDQVSRUW LQ RGODJDQMD SUHPHãþHQLK SODYLQ 5XVMDQ LQ VRG 3URWLXWHå HUR]LMVNHPX GHORYDQMX SD SUHGVWDYOMD JHRORãNR GHORYDQMH NL GYLJXMH SRYUãMH. 1D REPRþMX YRGRWRND SULKDMD GR YHOLNLK þDVRYQLKLQSURVWRUVNLKVSUHPHQOMLYRVWLWHKSURFHVRY

6SURãþDQMH PDWHULDOD MH SRVOHGLFD SURFHVRY HUR]LMH WDO SRGSRYUãLQVNHJD VSLUDQMD LQ SUHPHãþDQMDWHUHUR]LMHEUHåLQYRGRWRND(UR]LMDWDOSUHVWDYOMDVSLUDQMHLQRGSODYOMDQMH]HPOMLQ QDSRYUãMX]DUDGLGHORYDQMDWHNRþHYRGH6HVWDYOMDMRMRSORVNRYQDåOHELþQDPHGåOHELþQDLQ MDUNRYQDHUR]LMD3RGSRYUãLQVNRSUHPHãþDQMHMHSRVOHGLFDVSLUDQMD]HPOMLQ]DUDGLSURQLFDMRþH YRGH HUR]LMD EUHåLQ YRGRWRND SD MH SRVOHGLFD GHORYDQMD YRGQHJD WRND Y VWUXJL 5XVMDQ LQ 0LNRã3ODYLQHVHQDWR]YRGQLPWRNRPSUHPHãþDMRGROYRGQRGRNOHUMH]DWRQDYROMR ]DGRVWQD NROLþLQD HQHUJLMH .R VH KLWURVW YRGQHJD WRND ]PDQMãD QDVWRSL SURFHV RGODJDQMD SUHPHãþHQLKSODYLQ5XVMDQLQVRG

(QDRGWUDGLFLRQDOQLKPHWRG]DL]UDþXQHUR]LMHMH8QLYHU]DOQDHQDþEDL]JXE]HPOMLQH86/(

R]LURPDYQRYHMãHPþDVXL]EROMãDQDYHU]LMD]R]QDNR586/(5HYLVHG86/(. (QDþEDQDP NRW UH]XOWDW SRGD SRYSUHþQR L]JXER WDO QD HQRWR SRYUãLQH 9KRGQH SRGDWNH ]D HQDþER SUHGVWDYOMDIDNWRUMHYNLMLKL]UDþXQDPRV SRPRåQLKHQDþER]LURPDSUHJOHGQLFLQJUDILNRQRY WHUXSRãWHYDQMHPODVWQRVWLWHUHQD7HERGRWXGLHQLRGJODYQLKGHMDYQLNRYVNDWHULPLERPRY QDGDOMHYDQMX SULPHUMDOL RFHQMHQR NROLþLQR WUDQVSRUWD SODYLQ 0HG WUDGLFLRQDOQH PHWRGH QDSRYHGRYDQMD HUR]LMH VSDGD ãH *DYULORYLüHYD HQDþED NL MR MH ]D REPRþMH 6UHGR]HPOMD SUHGODJDO*DYULORYLü3HWNRYãHN3R]QDPRWXGLVRGREQHMãHª0RGHUQHPHWRGH©

PRGHOLUDQMDHUR]LMHWDOPHGNDWHUHVSDGDMRPRGHOL:(33/,6(0LQ7232*7H]DUD]OLNRRG

(15)

WUDGLFLRQDOQLKPHWRGXSRãWHYDMRFHORWHQFLNHOHUR]LMVNHJDSURFHVDVSURãþDQMHSUHPHãþDQMH LQRGODJDQMH3HWNRYãHN

9 GLSORPVNL QDORJL ERPR SRVNXãDOL RYUHGQRWLWL SUHPHãþDQMH SODYLQ Y VWUXJL 6DYH 'ROLQNH LQ VWUXJDKQMHQLKSULWRNRY3ULWRNL6DYH'ROLQNHVRYYHþLQLYRGRWRNLKXGRXUQLãNHQDUDYH]DWR VH YQMLK YHþMLGHOSUHPHãþDQMDSODYLQ]JRGLREL]GDWQHMãLKSDGDYLQVNLKGRJRGNLKNRVHSUHWRNL ]QDWQR SRYHþDMR2SD]RYDQD SULVSHYQD REPRþMD YRGRWRNRY VR YHþLQRPD Y VWUPHPWHUHQX NMHU LPD YRGQL WRN VSORK RE YHþMLK SUHWRNLK YHOLNR HQHUJLMH =DWR SUHYODGXMHWD SURFHVD VSURãþDQMDLQWUDQVSRUWDSODYLQRGODJDQMHSODYLQSDMHSULVRWQRQDREPRþMLK ]DSODYQLKSUHJUDG QDYRGRWRNLK1DRVQRYL]DSROQMHQRVWLWHK]DSODYQLKSUHJUDGERGRYGLSORPVNLQDORJLRFHQMHQH NROLþLQHSUHPHãþHQLKSODYLQQDSRVDPH]QLKYRGRWRNLK=DSODYQHSUHJUDGH]DGUåLMRYHþLQRPD ULQMHQHSODYLQHWDNRGDVHERRFHQDQDQDãDODQDWRYUVWRSODYLQ1DPHQGLSORPVNHQDORJHMH SULPHUMDWLNROLþLQRSUHPHãþHQLKSODYLQYSRVDPH]QLKYRGRWRNLK]ODVWQRVWPLQMLKRYLKSRUHþLM6 SRPRþMRWHKSULPHUMDYERPRVNXãDOLXJRWRYLWLNDWHULGHMDYQLNLR]LURPDNDWHUHODVWQRVWLSRUHþMD LPDMRQDMYHþMLYSOLYQDNROLþLQRSUHPHãþDQMDVHGLPHQWRYYKXGRXUQLãNLKYRGRWRNLK

+LSRWH]D NL MR ERPR VNXãDOL XWHPHOMLWL Y GLSORPVNL QDORJL, MH GD LPDMR ODVWQRVWL WHUHQD SULVSHYQLKREPRþLMYRGRWRNRYQDNORQLWHUHQDSRYUãLQDLQGROåLQDSULVSHYQHJDREPRþMDWHU SDGDYLQHLQQMLKRYD HUR]LYQRVWELVWYHQYSOLYQDSUHPHãþDQMHVHGLPHQWRYR]SODYLQYVWUXJDK YRGRWRNRYQDREPRþMX6DYH'ROLQNH

(16)

Prezelj, L9UHGQRWHQMHSUHPHãþDQMDVHGLPHQWRYQDSRGODJLSRGDWNRYR]DSROQMHQRVWLKXGRXUQLãNLKSUHJUDG 'LSOQDO/MXEOMDQD8/)**8QLYHU]LWHWQLãWXGLMVNLSURJUDPSUYHVWRSQMH9RGDUVWYRLQRNROMVNRLQåHQLUVWYR

2 KLASIFIKACIJA ZAPLAVNIH OBJEKTOV

=DSODYQHREMHNWH VOLND XPHãþDPRYVWUXJRYRGRWRND]QDPHQRPGDEL]DGUåDOLþLPYHþMR NROLþLQRSODYLQNLVHSUHPHãþDMRVWRNRP6WHPLREMHNWL]PDQMãDPRSUHPHVWLWYHQR]PRJOMLYRVW YRGRWRND SRVOHGLFD WHJD SD MH ]PDQMãDQD HUR]LMVND PRþ YRGRWRND 5D]HQ SUHWYDUMDQMD LQ L]QLþHYDQMD HQHUJLMH YRGQHJD WRND Y HUR]LMVNLK WROPXQLK ]DSODYQL REMHNWL QLPDMR ELVWYHQHJD YSOLYD QD YLVRNRYRGQH SUHWRNH +LWURVW ]DSODYOMDQMD WHK REMHNWRY MH WHåNR QDSRYHGDWL DOL QDG]RURYDWLVDMMHPRþQRRGYLVQDRGUD]SRQDSUHWRNRYQDMYHþSODYLQVHSUHPHãþDREYLVRNLK SUHWRNLKLQSURGRQRVQRVWL,QGLKDU

=DSODYQL REMHNWL ODKNR SROHJ SUHVWUH]DQMD NDPQLWHJD LQ SHãþHQHJD PDWHULDOD VOXåLMR WXGL ]D SUHVWUH]DQMHSODYMDUDVWOLQVNHJDL]YRUDGUHYHVQLRVWDQNLJUPRYMH=DWDQDPHQVRXSRUDEQH SUHGYVHPPUHåDVWHLQUHãHWDVWHILOWULUQHSUHJUDGH=DORNDU

3RPHPEQRMHGDVH]DMHWPDWHULDOY]DSODYQLKSURVWRULKRGVWUDQMXMHR]LURPDþLVWLYXVWUH]QHP þDVRYQHPLQWHUYDOX2EQHXVWUH]QHPY]GUåHYDQMXSULGHGRSRSROQH]DSROQMHQRVWLREMHNWRY 7DNUDWQHPRUHMRYHþ]DGUåHYDWLSODYLQLQLPDMRVDPRãHWLªXVWDOLWYHQR© IXQNFLMR6SORKY ]JRUQMHPWRNXMHWXGL XVWDOLWYHQDIXQNFLMD]HORSRPHPEQDVDMNRQWUROLUDHQHUJLMRYRGQHJDWRND WMORNDOQR]PDQMãXMHY]GROåQLSDGHF.

6OLND1=DSODYQLREMHNWQDSRWRNX+UXãLFD

(17)

2.1 =DGUåHYDOQHSUHJUDGH

*ODYQLQDPHQ]DGUåHYDOQLKSUHJUDGVOLNDQDKXGRXUQLNLKMH]DMHPGRWRNDSODYLQSUHGYVHP Y þDVX YLVRNLK SUHWRNRY NR MH SUHPHãþDQMH SODYLQ QDMYHþMH = XPHãþDQMHP UD]EUHPHQLPR VWUXJRGROYRGQRRGSUHJUDGH6WHPYRGRGROYRGQRRGSUHJUDGHRþLVWLPRSODYLQNDUSDSRYHþD SUHPHVWLWYHQR ]PRJOMLYRVW YRGRWRND 6 WHP VH SRYHþD L]SRVWDYOMHQRVW HUR]LML VWUXJH SRG SUHJUDGR = L]JUDGQMR SUHJUDGH VH ]PDQMãD WXGL QDNORQ VWUXJH JRUYRGQR RG SUHJUDGH SRVOHGLFDWHJDSDMHSRþDVQHMãLWRNLQPDQMãDWUDQVSRUWQDPRþKXGRXUQLND.

3UHJUDGH]DGUåLMRSODYLQHYQDUDYQLKDOLXPHWQLK]ELUDOQLNLKQDGQMLPL=D]DGUåHYDQMHSODYLQ VH QDMSRJRVWHMH XSRUDEOMDMR SUHJUDGH ] PDMKQLPL UHåDPL ]JUDMHQH L] NRPELQDFLMH SRYVHP QDUDYQLKLQþORYHãNRL]GHODQLK PDWHULDORYEHWRQNDPHQYEHWRQXOHV

7DWLSSUHJUDGVHQDMSRJRVWHMHXPHãþDQDYUKYUãDMDNMHUVHSDGFLVWUXJH]PDQMãDMR=DUDGL UD]ãLULWYH VWUXJH ODKNR WDP ]DJRWRYLPR XVWUH]QH YROXPQH ]DSODYQLK SURVWRURY 3ROHJ ]DGUåHYDQMD SODYLQ LPDMR WXGL XVWDOLWYHQR IXQNFLMR VDM ]PDQMãXMHMR HUR]LMR VWUXJH LQ VSRGNRSDYDQMH SRERþLM 3RVOHGLFD WHJD MH WXGL PDQMãD NROLþLQD VSURãþHQLK SODYLQ =DORNDU

6OLND2=DGUåHYDOQDSUHJUDGD6WHLQPDQ%DQRYHFVWU

(18)

2.2 3UHELUDOQHSUHJUDGH

2VQRYQD IXQNFLMD SUHELUDOQLK SUHJUDG MH ]DGUåHYDQMH SODYLQ NL VH SUHPHãþDMR SR VWUXJL YRGRWRND QDPHQMHQH SD VR WXGL NRQWUROLUDQHPX SUHSXãþDQMX GRORþHQLK PDQMãLK IUDNFLM VHGLPHQWRYSUHNRSUHJUDGHGROYRGQRSRVWUXJL

3UHELUDOQH SUHJUDGH VOLND LPDMR YHUWLNDOQR RGSUWLQR NL SUHSXãþD ILQH VHGLPHQWH 7L ]D SURFHVH Y VWUXJL QLVR ãNRGOMLYL LQ ]DJRWDYOMDMR REQDYOMDQMH SRVWHOMLFH VWUXJH =DGUåLMR SD YHV JUREL PDWHULDO NL LPD SUHPHU YHþML RG ãLULQH RGSUWLQH, LQ V WHP ]PDQMãDMR QHJDWLYQH YSOLYH SUHPHãþDQMD SODYLQ 7LSLþQL SULPHUL WDNLK SUHJUDG VR DUPLUDQREHWRQVNH ]DJDWQH SUHJUDGH ] MHNOHQLPL]DJDWQLPLQRVLOFLWHUUHåDVWHDUPLUDQREHWRQVNHSUHJUDGH=DORNDU

1HJDWLYQHYSOLYHQDSUHELUDOQHSUHJUDGHLPDSODYMHNLVHSUHPHãþD]YRGRWRNRPJUPRYMH YHMH GHEOD 7D ]DPDãL RGSUWLQR SUHJUDG LQ V WHP RQHPRJRþL SUHPHãþDQMH GUREQLK VHGLPHQWRY 3UHELUDOQD SUHJUDGD WDNR L]JXEL VYRM JODYQL QDPHQ LQ GHOXMH NRW NODVLþQD ]DGUåHYDOQDSUHJUDGD'RWRNSODYMDMHSRWUHEQRSUHSUHþLWL]ORYLOQLPLPUHåDPLQDGSUHJUDGR DOLSDSUHJUDGRXPHVWLWLYKXGRXUQLNQDGJR]GQRPHMRþHMHWRPRJRþH6HQLþ

6OLND39UVWHSUHELUDOQLKSUHJUDG6WHLQPDQ%DQRYHFVWU

3RVHEQD YUVWD SUHELUDOQLK SUHJUDG VR GR]LUQH R] ILOWULUQH SUHJUDGH VOLND 7H RE YLVRNLK YRGDK ]DGUåLMR YHþMH NRVH SODYMD GHEOD YHMH NL EL ODKNR SRãNRGRYDOL REMHNWH GROYRGQR 1DPHQMHQH SD VR WXGL ]PDQMãHYDQMX HQHUJLMH YRGQHJD WRND RE YLVRNRYRGQLK SUHWRNLK

=DGUåDQRYHþMHSODYMHQDWRNRQWUROLUDQRSUHSXãþDMRREQRUPDOQLKSUHWRNLK=DVQRYDQHPRUDMR ELWL WDNR GD ]DGUåLMR VDPR RPHQMHQR YHþMH SODYMH ILQ PDWHULDO SD QHPRWHQR SUHSXãþDMR 7LSLþHQSULPHUGR]LUQLKLQILOWULUQLKSUHJUDGVRSUHJUDGH]YHOLNLPLUHåDPL7RUNDU

(19)

6OLND'R]LUQDR]ILOWULUQDSUHJUDGD=DORNDUVWU.

(20)

3 PODATKI IN METODE

&LOMGLSORPVNHQDORJHMHRYUHGQRWLWLNROLþLQRSUHPHãþHQLKSODYLQYKXGRXUQLNLKNLVHL]OLYDMRY 6DYR 'ROLQNR WHU WH SRGDWNH SULPHUMDWL ] ODVWQRVWPL SULVSHYQLK REPRþLM SRVDPH]QLK KXGRXUQLNRY 6 WHP VPR RYUHGQRWLOL YSOLY SRVDPH]QLK GHMDYQLNRY QD NROLþLQR SUHPHãþDQMD SODYLQ Y KXGRXUQLãNLK YRGRWRNLK 3UL GRORþDQMX NROLþLQH SUHPHãþHQLK SODYLQ VH QDQDãDPR SUHGYVHP QD SUHPHãþDQMH ULQMHQLK SODYLQ VDM VPR ]D YKRGQL SRGDWHN XSRUDELOL NROLþLQR ]DMHWHJD PDWHULDOD Y ]DSODYQLK REMHNWLK NL SD ]DGUåLMR YHþLQRPD WR YUVWR SODYLQ 3RGDWNH R ODVWQRVWLKSRVDPH]QLKSULVSHYQLKREPRþLMVPRSULGRELOLVSRPRþMRDQDOL]YSURJUDPX6$*$

*,6

3.1 %LODQFDSUHPHãþHQLKSODYLQ 3.1.1 Vhodni podatki

.RW YKRGQH SRGDWNH ]D GRORþDQMH ELODQFH SUHPHãþDQMD SODYLQ VPR XSRUDELOL SRGDWNH R ]DSROQMHQRVWL]DSODYQLKREMHNWRY]JUDMHQLKQDKXGRXUQLãNLKSULWRNLK6DYH'ROLQNH7HSRGDWNH VPR SRY]HOL L] WDEHOH ª(YLGHQFD ]DSODYQLK REMHNWRY SUHGYLGHQLK ]D UHGQR þLãþHQMH– 6DYD 'ROLQND©SULORJD$SRGMHWMD9RGQRJRVSRGDUVNRSRGMHWMHGG.UDQM9*3.UDQMNLMHL]YDMDOR þLãþHQMHLQYRGLORHYLGHQFRRPHQMHQLKSUHJUDGYOHWLKRGGR9WDEHOLVR]DEHOHåHQL SRGDWNL R SURVWRUQLQL LQ SURFHQWX ]DSROQMHQRVWL REMHNWRY RE SRVDPH]QLK RJOHGLK LQ WHUPLQLK þLãþHQMDR]RGVWUDQMHYDQMDPDWHULDOD

9HþLQR ]DSODYQLK REMHNWRY YNOMXþHQLK Y HYLGHQFR SUHGVWDYOMDMR ]DGUåHYDOQH SUHJUDGH QHNDM REMHNWRYSDSUHGVWDYOMDMRWXGL]DSODYQLSURVWRUL VOLND.

6OLND =DSODYQLSURVWRUQDSRWRNX.ULåQLFD.

(21)

2EUDYQDYDQH]DSODYQHSUHJUDGHVRL]YHGHQHYWUHKUD]OLþQLKNRPELQDFLMDKPDWHULDORY*OHGH QDXSRUDEOMHQNRQVWUXNFLMVNLPDWHULDOMLKWDNRODKNRUD]GHOLPRQDEHWRQVNHSUHJUDGHSUHJUDGH L]NDPQDYEHWRQX 6OLND LQSUHJUDGHL]DUPLUDQR-EHWRQVNLKNDãW VOLND9LãLQHWHKSUHJUDG YDULLUDMRPHGPLQP3UDYWDNRVRUD]OLþQLQMLKRYL]DGUåHYDOQLYROXPQLNL]QDãDMRRG QHNDMGHVHWNXELþQLKPHWURYGRQHNDMWLVRþNXELþQLKPHWURY

6OLND6=DGUåHYDOQDSUHJUDGDQDSRWRNXª*UDEHQQDSUXKX©L]NDPQDYEHWRQXYLãLQDP.

6OLND=DGUåHYDOQDSUHJUDGDQDSRWRNX +UXãLFDL]DUPLUDQR-EHWRQVNe NDãWe YLãLQDP.

(22)

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3.1.2 Izbor uporabnih podatkov

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(30)

3.2.4 Podatki o padavinah

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DQDOL]H WHUHQD WHK REPRþLM Y SURJUDPX 6$*$ ,] SULGREOMHQLK SDUDPHWURY VPR L]UDþXQDOL YUHGQRVWL0HOWRQRYHJDãWHYLOD]DSULVSHYQDREPRþMD]DSODYQLKSUHJUDG

3.2.6 Razredi stopenj nevarnosti erozije

=DSULVSHYQDREPRþMD]DSODYQLKSUHJUDGVPRGRORþLOLUD]UHGHVWRSHQMQHYDUQRVWLSORVNRYQHLQ OLQLMVNHHUR]LMH7HVPRSULGRELOLQDSRGODJLRSR]RULOQHNDUWHSORVNRYQHHUR]LMHLQRSR]RULOQH NDUWHOLQLMVNHHUR]LMH2EHNDUWLMHSRQDURþLOX*HRORãNHJD]DYRGD6ORYHQLMHL]GHODORSRGMHWMH (KRSURMHNWGRR/DMHYHFLQVRG3RGDWNH YREOLNLUDVWUVNLKVORMHYVPRREUH]DOLQD SROLJRQHSULVSHYQLKREPRþLMGDVPRGRELOLYUHGQRVWL]DSRVDPH]QRREPRþMH(UR]LMLREHKYUVW VWDUD]GHOMHQLYãWLULUD]UHGHVWRSHQMQHYDUQRVWLLQSRYSUHþQRYUHGQRVWSRVDPH]QHJD REPRþMDSDSUHGVWDYOMDãWHYLONDPHGLQRGYLVQRNDWHUDVWRSQMDHUR]LMHMHQDWHPREPRþMX QDMEROM]DVWRSDQD

3.2.6.1 Opozorilna karta ploskovne erozije

2SR]RULOQD NDUWD SORVNRYQH HUR]LMH MH L]GHODQD Y PHULOX ,]GHODQD MH ] *,6 PRGHOLUDQMHPQDSRGODJLSULODJRMHQHPHWRGH586LE /DMHYHFLQVRG2PHQMHQDNDUWD UD]GHOLREPRþMHQDãWLULVWRSQMHQHYDUQRVWLSRMDYOMDQMDSORVNRYQHHUR]LMH

,VWRSQMD- QH]QDWQDHUR]LMVNDQHYDUQRVW ,,VWRSQMD- PDMKQDHUR]LMVNDQHYDUQRVW ,,,VWRSQMD- VUHGQMDHUR]LMVNDQHYDUQRVW ,9VWRSQMD- YHOLNDHUR]LMVNDQHYDUQRVW

3.2.6.2 Opozorilna karta linijske erozije

7XGLRSR]RULOQDNDUWDOLQLMVNH HUR]LMHMHL]GHODQDYPHULOX,]GHODQDMHVSRPRþMR*,6 PRGHOLUDQMD /DMHYHFLQVRG.DUWDKLGURJUDIVNRPUHåRREUDYQDYDQHJDREPRþMDUD]GHOL QDãWLULVWRSQMHQHYDUQRVWLSRMDYOMDQMDOLQLMVNHHUR]LMH

,VWRSQMD- ]HORPDMKQDHUR]LMVNDQHYDUQRVW ,,VWRSQMD- PDMKQDHUR]LMVNDQHYDUQRVW ,,,VWRSQMD- VUHGQMDHUR]LMVNDQHYDUQRVW ,9VWRSQMD- YHOLNDHUR]LMVNDQHYDUQRVW

(32)

1DVOLNDK3 LQ VRSULND]DQLUD]UHGLSORVNRYQHLQOLQLMVNHHUR]LMH]DSULVSHYQRREPRþMHHQH RGSUHJUDG

6OLND135D]UHGLSORVNRYQHHUR]LMH]DSULVSHYQRREGREMHSRWRND0OLQFD.

6OLND5D]UHGLOLQLMVNHHUR]LMH]DKLGURJUDIVNRPUHåRSRWRND0OLQFD.

(33)

3.3 9SOLYODVWQRVWLSULVSHYQLKREPRþLMQDELODQFRWUDQVSRUWDSODYLQ

5DGLELRYUHGQRWLOL, NDWHULGHMDYQLNLR]ODVWQRVWLSULVSHYQLKREPRþLMLPDMRQDMYLGQHMãLYSOLYQD WUDQVSRUWSODYLQR]LURPDSRLVNDOLPRUHELWQRNRUHODFLMRPHGSDUDPHWULSRYRGMDLQWUDQVSRUWRP SODYLQQDKXGRXUQLNX7RERPRXJRWRYLOLVSULPHUMDYRELODQFHWUDQVSRUWDSODYLQNLVPRMRRFHQLOL YSRJODYMX, LQODVWQRVWPLR]. L]EUDQLPLSDUDPHWULSULVSHYQLKREPRþLMNLVPRMLKL]YUHGQRWLOL YSRJODYMX

3RVDPH]QH ODVWQRVWL SULVSHYQLK REPRþLM ERPR SULPHUMDOL V SRYSUHþQR OHWQR NROLþLQR SUHPHãþHQLK SODYLQ WHU V VSHFLILþQLP WUDQVSRUWRP SODYLQ 3UL SULPHUMDYL ] OHWQR NROLþLQR SUHPHãþHQLKSODYLQSUHYHUMDPRGLUHNWHQYSOLYSRVDPH]QHODVWQRVWLQDSUHPHãþDQMHSODYLQY YRGRWRNX3ULSULPHUMDYLVVSHFLILþQLPWUDQVSRUWRPSODYLQNMHUMHWUDQVSRUWQRUPLUDQQDHQRWR SRYUãLQH SD L]NOMXþLPRYSOLY SRYUãLQH SULVSHYQLK REPRþLM LQWDNR RYUHGQRWLPR, NDNãHQ YSOLY LPD SRVDPH]QD ODVWQRVW QD WUDQVSRUW SODYLQ Y YRGRWRNX RE XSRãWHYDQMX YSOLYD YHOLNRVWL SULVSHYQHSRYUãLQH9SULPHUXGDLPDSRYUãLQDSULVSHYQHJDREPRþMDELVWYHQYSOLYQDWUDQVSRUW SODYLQ, ODKNR WDNR Y GUXJHP SULPHUX WD YSOLY L]NOMXþLPR LQ PHG VHERM SULPHUMDPR SRGDWNH SULVSHYQLKREPRþLMUD]OLþQLKYHOLNRVWL

=D YVDN REUDYQDYDQ GHMDYQLN R] ODVWQRVW SULVSHYQHJD REPRþMD ERPR L] SRGDWNRY XVWYDULOL UD]WUHVHQLJUDILNRQ1DHQRRVQDQHVHPRSRGDWNHRELODQFLWUDQVSRUWDSODYLQ]DSRVDPH]QH SUHJUDGHQDGUXJRRVSDYUHGQRVWLREUDYQDYDQHODVWQRVWL]DWHSUHJUDGH9SOLYQDWUDQVSRUW SODYLQERQDMYHþMLSULWLVWLKGHMDYQLNLKNMHUEROLQHDUQDRGYLVQRVWQDUD]WUHVHQHPJUDIXQDMYHþMD 2GYLVQRVW PHG SRGDWNL QD JUDIX GRELPR ] L]ULVRP OLQHDUQH WUHQGQH þUWH LQ SULSDGDMRþH YUHGQRVWL5– NYDGUDW9UHGQRVW5SUHGVWDYOMD3HDUVRQRYNRHILFLHQWNRUHODFLMH7DSUHGVWDYOMD ãWHYLOVNR PHUR ]D XJRWDYOMDQMH OLQHDUQLK SRYH]DQRVWL GYHK VSUHPHQOMLYN R]LURPD VNXSLQ SRGDWNRY=DY]DPHODKNRYUHGQRVWLRG-GRýHMHYUHGQRVWNRHILFLHQWDEOL]Xto SRPHQL, GD MH NRUHODFLMD PDMKQDS SULEOLåHYDQMHP QMHJRYH YUHGQRVWL SURWL R]- SD VH YHþD SRYH]DQRVW PHG VSUHPHQOMLYNDPD R]LURPD VH YHþD NRUHODFLMD PHG QMLPD 3UL WHP JUH SUL SR]LWLYQLKYUHGQRVWLK]DSR]LWLYQRNRUHODFLMRSULQHJDWLYQLKSD]DQHJDWLYQR5D]OLNRYDQMXPHG SR]LWLYQRLQQHJDWLYQRNRUHODFLMRVHL]RJQHPR]XSRUDERNYDGULUDQHYUHGQRVWL=HPOMDN

=DYVDNGHMDYQLNERPRWRUHML]ULVDOLGYDUD]WUHVHQDJUDILNRQDNMHUERPR SULSUYHPQMHJRYH YUHGQRVWLSULPHUMDOLVSRYSUHþQROHWQRNROLþLQRSUHPHãþHQLKSODYLQSULGUXJHPSDVVSHFLILþQLP WUDQVSRUWRPSODYLQ

(34)

4 REZULTATI IN DISKUSIJA 4.1 Bilanca transporta plavin

3RGDWNLRSRYSUHþQLOHWQLNROLþLQLSUHPHãþHQLKSODYLQLQVSHFLILþQHPWUDQVSRUWXSODYLQNLVPR MLKL]UDþXQDOLSRPHWRGDKRSLVDQLKYSRJODYMLKLQ, VRSULND]DQL YSUHJOHGQLFL

3UHJOHGQLFD33RGDWNLRSRYSUHþQLNROLþLQLSUHPHãþHQLKSODYLQLQVSHFLILþQHPWUDQVSRUWXSODYLQ.

Oznaka Vodotok

WŽǀƉƌĞēŶĂŬŽůŝēŝŶĂ ƉƌĞŵĞƓēĞŶŝŚƉůĂǀŝŶ

[m³ͬůĞƚŽ΁

^ƉĞĐŝĨŝēŶŝ transport [m³ͬ;ŚĂΎůĞƚŽͿ΁

10 E/ 3500,0 2,18

11 KLEMUCOV GRABEN 160,0 2,83 12 KROTNJEK 163,9 0,50

13 SUHELJ 1360,0 8,28

14 SUHELJ 900,0 7,58

19 <Z/E/ 13,7 0,64

20 <>: 27,8 0,14

26 GRABEN NA PRUHU 166,6 2,25 27 TARMANOV GRABEN 41,3 2,24 29 TOFOV GRABEN 165,9 2,08

34 ƉƌŝƚŽŬŝǌƉŽĚDĞǎĂŬůũĞ 33,2 2,59

39 MLINCA 1356,8 2,21

40 PRESUŠNIK 2054,6 4,58 43 DOBRŠNIK 281,3 1,70

45 HRUŠICA 60,0 1,31

491 <KZEdZ:s;KWKsͿ'Z͘ 4,2 0,07

50 JAVORNIK 585,0 0,89

51 ƉƌŝƚŽŬ:ĂǀŽƌŶŝŬĂǀ:Ăǀ͘ZŽǀƚƵ 63,3 2,40

52 ƉƌŝƚŽŬ:ĂǀŽƌŶŝŬĂƉƌŝ<ůĂĚŶŝŬƵ 3,8 0,21

59 KOTARICA 435,6 0,38

60 Z/ 111,3 0,10

WKsWZEsZEK^d 547,1 2,15

,]UDþXQDQDSRYSUHþQDYUHGQRVWVSHFLILþQHJDWUDQVSRUWDSODYLQ]DSUHJUDGHNDWHULKSRGDWNH VPRXSRUDELOL, ]QDãD ^௠^య

௛௔ή௟௘௧௢ 9UHGQRVWSRYSUHþQHJDVSURãþDQMDKULELQVNHJDPDWHULDODLQ SORGQLK WDO ]DUDGL HUR]LMH ]D REPRþMH .DUDYDQN NL VPR MR SRY]HOL SR 9RGQRJRVSRGDUVNLK RVQRYDK =YH]DYRGQLKVNXSQRVWL6ORYHQLMH, ]QDãD ^௠^య

௞௠^మή௟௘௧௢ R]LURPD ^௠^య

௛௔ή௟௘௧௢ . 9HQGDUSDVHPRUDPR]DYHGDWLGDYHþNRWSRORYLFDNROLþLQHPDWHULDOD]DRVWDQHQDPHVWXLQ QHGRVHåHVWUXJHYRGRWRNRY3RYSUHþQLVSHFLILþQLWUDQVSRUWSODYLQYVWUXJDKWDNRSRWHPYLUX ]QDãD SULEOLåQR - ^௠^య

௛௔ή௟௘௧௢ 9 SUHJOHGQLFL SD VR SULND]DQH RFHQH VSHFLILþQHJD VSURãþDQMD JUDGLYD ]D REPRþMH FHORWQH 6ORYHQLMH UD]OLþQLK DYWRUMHY 9UHGQRVWL NL VPR MLK L]UDþXQDOL QD

(35)

SRGODJLDQDOL]H]DSROQMHQRVWL]DSODYQLKSUHJUDG, VRSULPHUOMLYHVSRGDQLPLRFHQDPLWUDQVSRUWD GUXJLK DYWRUMHY VDM VH QDKDMDMR Y REPRþMX PHG WHPL YUHGQRVWPL 9UHGQRVWL VH SUHGYVHP XMHPDMR]RFHQR SRYSUHþQHJDVSHFLILþQHJDWUDQVSRUWD]DREPRþMH.DUDYDQN=YH]DYRGQLK VNXSQRVWL 6ORYHQLMH NL VR VLFHU QHNROLNR YHþMH 5D]ORJ ]D WR MH WXGL WD GD NROLþLQH WUDQVSRUWD, L]UDþXQDQH QD SRGODJL ]DSROQMHQRVWL SUHJUDG, REVHJDMR OH ULQMHQH SODYLQH VDM ]DSODYQHSUHJUDGHQH]DGUåLMROHEGHþLKSODYLQ

3UHJOHGQLFD3ULND]RFHQVSHFLILþQHJDVSURãþDQMDJUDGLYD]DREPRþMH6ORYHQLMH.RPDFLQ=RUQ

sŝƌ

^ƉĞĐŝĨŝēŶŽƐƉƌŽƓēĂŶũĞŐƌĂĚŝǀĂ

΀ƚͬ;ŚĂΎůĞƚŽͿ΁

^ƉĞĐŝĨŝēŶŽ ƐƉƌŽƓēĂŶũĞ ŐƌĂĚŝǀĂ [m³ͬ;ŚĂΎůĞƚŽͿ

>ĂǌĂƌĞǀŝē͕ϭϵϴϭ 3,13 1,18

Ğŵůũŝē͕ ϭϵϳϮ͖

ZĂŝŶĞƌ ŝŶ Ğŵůũŝē͕

ϭϵϳϱ͖ ,ŽƌǀĂƚ͕ ϭϵϴϳ͖

,ŽƌǀĂƚ͕ϮϬϬϮ 4,18 1,58

<ŽŵĂĐŝŶŽƌŶ͕ϮϬϬϱ 3,7 - 4,52 1,40 – 1,71

3ULPHUMDYD L]UDþXQDQH SRYSUHþQH OHWQH NROLþLQH SUHPHãþHQLK SODYLQ V SRGDWNL KLGURORãNH ãWXGLMH6DYH'ROLQNH9*,]DQHNDWHUHYRGRWRNHMHSULND]DQDYSUHJOHGQLFL9ãWXGLML VPRSULGRELOLSRGDWNH]JROM]DWULSUHJUDGHNLVPRMLKXSRUDELOLSULDQDOL]L=DWHWULSUHJUDGHVR NROLþLQH SUHPHãþDQMD, SULGREOMHQH L] ãWXGLMH 9*,, SUHFHM YHþMH RG L]UDþXQDQLK 3UL WHP MH SRWUHEQRXSRãWHYDWLGDGRORþHQDNROLþLQDVSURãþHQHJDPDWHULDOD, RFHQMHQHJDYãWXGLML9*, , zDRVWDQHQDPHVWXLQQHGRVHåHVWUXJHYRGRWRND,]UDþXQDQHYUHGQRVWLVRPDQMãHWXGL ]DWRNHUWHREVHJDMROHNROLþLQHSUHPHãþHQLKULQMHQLKSODYLQQHSDWXGLOHEGHþLKSODYLQ(GHQ RGUD]ORJRY]DRGVWRSDQMDMHODKNRWXGLWDGDVRNROLþLQHYãWXGLML9*,SRGDQH]DSUHUH]VWUXJH SUL L]OLYX Y 6DYR 'ROLQNR Y GLSORPVNL QDORJL L]UDþXQDQH NROLþLQH SD WHPHOMLMR QD SRGDWNLK ]DSODYQLKSUHJUDGNLVRVWDFLRQLUDQHYLãMHYYRGRWRNX%ROMãRSULPHUMDYRELODKNRL]YHGOLþHEL LPHOLL]ãWXGLMHQDYROMRSRGDWNH]DYHþYRGRWRNRYNLMLKREUDYQDYDPR

3UHJOHGQLFD3ULPHUMDYDL]UDþXQDQLKSRYSUHþQLKOHWQLKNROLþLQSUHPHãþHQLKSODYLQVSRGDWNLR SRYSUHþQHPOHWQHPVSURãþDQMXPDWHULDOD9*,

WŽǀŽĚũĞ

WŽǀƉƌĞēŶŽůĞƚŶŽƐƉƌŽƓēĂŶũĞ ŵĂƚĞƌŝĂůĂ΀ŵ³ͬůĞƚŽ΁;s'/͕

ϭϵϵϱͿ

/ǌƌĂēƵŶĂŶĂƉŽǀƉƌĞēŶĂůĞƚŶĂŬŽůŝēŝŶĂ ƉƌĞŵĞƓēĞŶŝŚƉůĂǀŝŶ΀ŵ³ͬůĞƚŽ΁

;WƌĞǌĞůũ͕ϮϬϮϭͿ

DůŝŶĐĂ 11481 1357

WƌĞƐƵƓŶŝŬ 9521 2055

ŽďƌƓŶŝŬ 2396 281

(36)

4.2 9SOLYSRYUãLQHSULVSHYQHJDREPRþMD

1D JUDILNRQX QD VOLNL MH SULND]DQD RGYLVQRVW PHG SRYUãLQDPL SULVSHYQLK REPRþLM LQ SRYSUHþQLPL letnLPL NROLþLQDPL SUHPHãþHQLKSODYLQ

6OLND*UDILNRQRGYLVQRVWLPHGSRYUãLQRSULVSHYQHJDREPRþMDLQSRYSUHþQROHWQRNROLþLQR SUHPHãþHQLKSODYLQ.

'RGDWQRMH QD JUDILNRQX QD VOLNL SULND]DQD ãH RGYLVQRVWmed ORJDULWPLUDQLPL YUHGQRVWPL SRYUãLQ SULVSHYQLK REPRþLM LQ ORJDULWPLUDQLPL SRYSUHþQLPL OHWQLPL NROLþLQDPL SUHPHãþHQLK SODYLQ3ULSUHYHUMDQMXYSOLYRYGUXJLKGHMDYQLNRY RGYLVQRVWL]DORJDULWPLUDQHYUHGQRVWLQHERPR SULND]RYDOLVDMVRWDPRGYLVQRVWLSRGREQHDOLPDQMãH

6OLND16*UDILNRQRGYLVQRVWL PHGORJDULWmom SRYUãLQe SULVSHYQLKREPRþLMLQORJDULWPom SRYSUHþQe OHWQLne NROLþLQe SUHPHãþHQLKSODYLQ

ǇсϬ͘ϯϮϲϰǆнϭϱϱ͘Ϭϵ ZϸсϬ͘ϯϵϵ 0

200 400 600 800 1000 1200 1400 1600 1800

0 500 1000 1500 2000 2500 3000 3500 4000

WŽǀƌƓŝŶĂƉƌŝƐƉĞǀŶĞŐĂŽďŵŽēũĂ΀ŚĂ΁

WŽǀƉƌĞēŶĂŬŽůŝēŝŶĂƉƌĞŵĞƓēĞŶŝŚƉůĂǀŝŶ΀ŵ³ͬůĞƚŽ΁

KĚǀŝƐŶŽƐƚŵĞĚƉŽǀƌƓŝŶŽƉƌŝƐƉĞǀŶĞŐĂŽďŵŽēũĂŝŶůĞƚŶŽ ŬŽůŝēŝŶŽƉƌĞŵĞƓēĞŶŝŚƉůĂǀŝŶ

ǇсϬ͘ϱϱϳǆнϰ͘ϵϬϯϴ ZϸсϬ͘ϱϬϯϱ

0 1 2 3 4 5 6 7 8

0 1 2 3 4

>ŽŐĂƌŝƚĞŵƉŽǀƌƓŝŶĞƉƌŝƐƉĞǀŶĞŐĂ ŽďŵŽēũĂ΀ůŽŐ;ŚĂͿ΁

>ŽŐĂƌŝƚĞŵƉŽǀƉƌĞēŶĞŬŽůŝēŝŶĞƉƌĞŵĞƓēĞŶŝŚƉůĂǀŝŶ΀ůŽŐ;ŵ³ͬůĞƚŽͿ΁

KĚǀŝƐŶŽƐƚŵĞĚůŽŐĂƌŝƚŵŽŵƉŽǀƌƓŝŶĞƉƌŝƐƉĞǀŶĞŐĂ ŽďŵŽēũĂŝŶůŽŐĂƌŝƚŵŽŵůĞƚŶĞŬŽůŝēŝŶĞƉƌĞŵĞƓēĞŶŝŚ

ƉůĂǀŝŶ

(37)

,]JUDILNRQRY QDVOLNDK 1 LQMHUD]YLGQRGDRGYLVQRVWPHGSRYUãLQRSULVSHYQLKREPRþLMLQ SRYSUHþQR OHWQR NROLþLQR SUHPHãþHQLK SODYLQ QL QDMEROMãD YHQGDU MH YLGHQ WUHQG YHþDQMD WUDQVSRUWD V SRYHþHYDQMHP SRYUãLQH 3UHGYLGHYDPRtorej ODKNR GD SRYUãLQD GR QHNHPHUH LPD YSOLY QD SUHPHãþDQMH SODYLQ *OHGH QD YHOLN UD]WURV NROLþLQ JOHGH QD SRYUãLQR ODKNR VNOHSDPRGDLPDMRQDWUDQVSRUWSRPHPEHQYSOLYWXGLGUXJLGHMDYQLNL1DPDQMãRRGYLVQRVWEL ODKNR YSOLYDOD WXGL QHJRWRYRVW YKRGQLK SRGDWNRY VDM DQDOL]D SUHPHãþHQLK SODYLQ WHPHOML QD WHUHQVNLKRFHQDK]DSROQMHQRVWLSUHJUDGLQQMLKRYLKYROXPQRYQHQDGHMDQVNLKWRþQLKSRGDWNLK QSUJHRGHWVNHL]PHUH.

4.3 9SOLYQDNORQDSULVSHYQHJDREPRþMD

1D JUDILNRQLK QD VOLNDK LQ VWD SULND]DQL RGYLVQRVWL PHG SRYSUHþQLP QDNORQRP SULVSHYQHJD REPRþMD Y VWRSLQMDK LQ SRYSUHþQR OHWQR NROLþLQR SUHPHãþHQLK SODYLQ WHU VSHFLILþQLPWUDQVSRUWRPSODYLQ

6OLND*UDILNRQRGYLVQRVWLPHGSRYSUHþQLPQDNORQRPSULVSHYQHJDREPRþMDLQSRYSUHþQR letno NROLþLQRSUHPHãþHQLKSODYLQ.

ǇсϬ͘ϬϬϮϳǆнϮϲ͘ϭϱϴ ZϸсϬ͘ϭϱϱϴ

10 15 20 25 30 35 40

0 500 1000 1500 2000 2500 3000 3500 4000

WŽǀƉƌĞēŶŝŶĂŬŬůŽŶ΀°΁

KĚǀŝƐŶŽƐƚŵĞĚƉŽǀƉƌĞēŶŝŵŶĂŬůŽŶŽŵŝŶůĞƚŶŽŬŽůŝēŝŶŽ ƉƌĞŵĞƓēĞŶŝŚƉůĂǀŝŶ

(38)

6OLND*UDILNRQRGYLVQRVWLPHGSRYSUHþQLPQDNORQRPSULVSHYQHJDREPRþMDLQVSHFLILþQLP WUDQVSRUWRPSODYLQ.

,] JUDIRY ODKNR UD]EHUHPR GD REVWDMD UDKHO WUHQG YHþDQMD WUDQVSRUWD SODYLQ ] YHþDQMHP SRYSUHþQLKQDNORQRYYHQGDUWDRGYLVQRVWQLYHOLNDR]LURPDL]UD]LWD9HþMDNRWSULVSHFLILþQHP WUDQVSRUWXNMHUMHWUDQVSRUWQRUPLUDQQDHQRWRSRYUãLQHMHRGYLVQRVWSULGHMDQVNHPWUDQVSRUWX L]þHVDUODKNRVNOHSDPRGDSRYUãLQDSULYSOLYXQDNORQD QLPDELVWYHQHYORJH,]WHJDVOHGLGD LPDMR QD WUDQVSRUW SODYLQ QDMYHþML YSOLY QDNORQL VDPH VWUXJH LQ QH FHORWQHJD SULVSHYQHJD REPRþMD

ǇсϬ͘ϴϮϬϳǆнϮϱ͘ϴϱϵ ZϸсϬ͘Ϭϵϱϱ 10

15 20 25 30 35 40

0 1 2 3 4 5 6 7 8 9

WŽǀƉƌĞēŶŝŶĂŬŬůŽŶ΀°΁

^ƉĞĐŝĨŝēŶŝƚƌĂŶƐƉŽƌƚƉůĂǀŝŶ΀ŵ³ͬ;ůĞƚŽΎŚĂͿ΁

KĚǀŝƐŶŽƐƚŵĞĚƉŽǀƉƌĞēŶŝŵŶĂŬůŽŶŽŵŝŶƐƉĞĐŝĨŝēŶŝŵ ƚƌĂŶƐƉŽƌƚŽŵƉůĂǀŝŶ

(39)

4.4 Vpliv parametrov HQDþEH86/(

1DJUDILNRQLKQDVOLNDKLQVRSULND]DQHRGYLVQRVWLPHGSDUDPHWURP/6HQDþEH86/(LQ SRYSUHþQROHWQRNROLþLQRSUHPHãþHQLKSODYLQWHUVSHFLILþQLPWUDQVSRUWRPSODYLQ

6OLND19*UDILNRQRGYLVQRVWLPHG/6IDNWRUMHP]GUXåHQIDNWRUGROåLQHLQQDNORQDSRERþMDLQ SRYSUHþQROHWQRNROLþLQRSUHPHãþHQLKSODYLQ.

6OLND20*UDILNRQRGYLVQRVWLPHG/6IDNWRUMHP]GUXåHQIDNWRUGROåLQHLQQDNORQDSRERþMDLQ VSHFLILþQLPWUDQVSRUWRPSODYLQ.

2SD]LPRODKNRGDje RGYLVQRVWSULIDNWRUMX/6SRGREQDNRWRGYLVQRVWSULSRYSUHþQLKQDNORQLK SULVSHYQLKREPRþLM3ULGHMDQVNLNROLþLQLSUHPHãþHQLKSODYLQNLMHYWHPSULPHUXEROMUHOHYDQWQD, MH RGYLVQRVW SUL /6 IDNWRUMX QHNROLNR YHþMD 3R WHP ODKNR VNOHSDPR GD LPD WXGL GROåLQD YRGRWRNDQHNROLNãHQYSOLYQDWUDQVSRUWSODYLQ

ǇсϬ͘ϬϬϯϰǆнϮϴ͘Ϭϱϵ ZϸсϬ͘ϭϵϵϱ

15 20 25 30 35 40 45

0 500 1000 1500 2000 2500 3000 3500 4000

LS

KĚǀŝƐŶŽƐƚŵĞĚ>^ĨĂŬƚŽƌũĞŵŝŶůĞƚŶŽŬŽůŝēŝŶŽƉƌĞŵĞƓēĞŶŝŚ ƉůĂǀŝŶ

ǇсϬ͘ϳϭϲϳǆнϮϴ͘ϰϬϭ ZϸсϬ͘Ϭϱϲϱ

15 20 25 30 35 40 45

0 2 4 6 8 10

LS

KĚǀŝƐŶŽƐƚŵĞĚ>^ĨĂŬƚŽƌũĞŵŝŶƐƉĞĐŝĨŝēŶŝŵƚƌĂŶƐƉŽƌƚŽŵ ƉůĂǀŝŶ

(40)

1DJUDILNRQLKQDVOLNDKLQVRSULND]DQHRGYLVQRVWLPHGSDUDPHWURP.HQDþEH86/(LQ SRYSUHþQROHWQRNROLþLQRSUHPHãþHQLKSODYLQWHUVSHFLILþQLPWUDQVSRUWRPSODYLQ

6OLND21*UDILNRQRGYLVQRVWLPHGIDNWRUMHP.IDNWRUHURGLELOQRVWLWDOLQSRYSUHþQROHWQRNROLþLQR SUHPHãþHQLKSODYLQ.

6OLND22*UDILNRQRGYLVQRVWLPHGIDNWRUMHP.IDNWRUHURGLELOQRVWLWDOLQVSHFLILþQLPWUDQVSRUWRPSODYLQ

3ULSDUDPHWUX.MHRGYLVQRVWYHþMDSULVSHFLILþQHPWUDQVSRUWXNLMHQRUPLUDQQDHQRWRSRYUãLQH ,] WHJD VOHGL GD QD NROLþLQR WUDQVSRUWD YSOLYD VWRSQMD HURGLELOQRVWL FHORWQHJD SULVSHYQHJD REPRþMDR]QHVDPRVWRSQMD HURGLELOQRVWLWDOYEOLåLQL VWUXJH

y = 2E-ϬϳǆнϬ͘Ϭϯϳϱ ZϸсϬ͘ϬϬϰϮ

Ϭ͘Ϭϯ Ϭ͘Ϭϯ Ϭ͘Ϭϯ Ϭ͘Ϭϰ Ϭ͘Ϭϰ Ϭ͘Ϭϰ Ϭ͘Ϭϰ Ϭ͘Ϭϰ

0 500 1000 1500 2000 2500 3000 3500 4000

K ΀ƚD:-1Śŵŵ-1΁

KĚǀŝƐŶŽƐƚŵĞĚ<ĨĂŬƚŽƌũĞŵŝŶůĞƚŶŽŬŽůŝēŝŶŽƉƌĞŵĞƓēĞŶŝŚ ƉůĂǀŝŶ

ǇсϬ͘ϬϬϬϰǆнϬ͘Ϭϯϲϴ ZϸсϬ͘Ϭϵϰϯ

Ϭ͘ϬϯϬ Ϭ͘ϬϯϮ Ϭ͘Ϭϯϰ Ϭ͘Ϭϯϲ Ϭ͘Ϭϯϴ Ϭ͘ϬϰϬ Ϭ͘ϬϰϮ Ϭ͘Ϭϰϰ

0 2 4 6 8 10

K ΀ƚD:-1Śŵŵ-1΁

^ƉĞĐŝĨŝēŶŝƚƌĂŶƐƉŽƌƚ΀ŵ³ͬ;ůĞƚŽΎŚĂͿ΁

KĚǀŝƐŶŽƐƚŵĞĚ<ĨĂŬƚŽƌũĞŵŝŶƐƉĞĐŝĨŝēŶŝŵƚƌĂŶƐƉŽƌƚŽŵ ƉůĂǀŝŶ

(41)

1DJUDILNRQLKQDVOLNDKLQVRSULND]DQHRGYLVQRVWLPHGSDUDPHWURP5HQDþEH86/(LQ SRYSUHþQROHWQRNROLþLQRSUHPHãþHQLKSODYLQWHUVSHFLILþQLPWUDQVSRUWRPSODYLQ

6OLND23*UDILNRQRGYLVQRVWLPHGIDNWRUMHP5IDNWRUSDGDYLQLQRGWRNDLQSRYSUHþQROHWQRNROLþLQR SUHPHãþHQLKSODYLQ.

6OLND*UDILNRQRGYLVQRVWLPHGIDNWRUMHP5IDNWRUSDGDYLQLQRGWRNDLQVSHFLILþQLPWUDQVSRUWRP SODYLQ.

ǇсϬ͘ϰϴϱϱǆнϯϯϵϭ͘ϴ ZϸсϬ͘ϱϯϮ

2500 3000 3500 4000 4500 5000 5500

0 1000 2000 3000 4000

R ΀D:ŚĂ-1ŵŵŚ-1΁

KĚǀŝƐŶŽƐƚŵĞĚZĨĂŬƚŽƌũĞŵŝŶůĞƚŶŽŬŽůŝēŝŶŽƉƌĞŵĞƓēĞŶŝŚ ƉůĂǀŝŶ

y = -ϭϳ͘ϳϰϲǆнϯϲϵϱ͘ϲ ZϸсϬ͘ϬϬϰϲ

2500 3000 3500 4000 4500 5000 5500

0 2 4 6 8 10

R ΀D:ŚĂ-1ŵŵŚ-1΁

KĚǀŝƐŶŽƐƚŵĞĚZĨĂŬƚŽƌũĞŵŝŶƐƉĞĐŝĨŝēŶŝŵƚƌĂŶƐƉŽƌƚŽŵ ƉůĂǀŝŶ

(42)

3UL SDUDPHWUX HUR]LYQRVWL SDGDYLQ LQ RGWRND MH RGYLVQRVW ELVWYHQR EROM L]UD]LWD SUL GHMDQVNL NROLþLQLSUHPHãþHQLKSODYLQ3ULGHMDQVNLNROLþLQLSUHPHãþHQLKSODYLQSRGDWNLQLVRQRUPLUDQLQD HQRWR SRYUãLQH ,] WHJD VOHGL GD QD SRYH]DYR PHG SDUDPHWURP 5 LQ WUDQVSRUWRP SODYLQ SRYUãLQD SRVDPH]QHJD SULVSHYQHJD REPRþMD QLPD YSOLYD 7DNR ODKNR VNOHSDPR GD LPD SDUDPHWHUSDGDYLQLQRGWRND5YSOLYYHþLQRPDQDSURFHVHYVWUXJLLQREQMHM

1DJUDILNRQLKQDVOLNDKLQVRSULND]DQHRGYLVQRVWLPHGSDUDPHWURP&HQDþEH86/(LQ SRYSUHþQROHWQRNROLþLQRSUHPHãþHQLKSODYLQWHUVSHFLILþQLPWUDQVSRUWRPSODYLQ

6OLND*UDILNRQRGYLVQRVWLPHGIDNWRUMHP&IDNWRUSRNURYQRVWLWDOLQSRYSUHþQROHWQRNROLþLQR SUHPHãþHQLKSODYLQ.

6OLND26*UDILNRQRGYLVQRVWLPHGIDNWRUMHP&IDNWRUSRNURYQRVWLWDOLQVSHFLILþQHPWUDQVSRUWRP SODYLQ.

y = 1E-ϬϱǆнϬ͘ϬϬϯϯ ZϸсϬ͘ϰϯϭϳ

Ϭ͘ϬϬ Ϭ͘Ϭϭ Ϭ͘ϬϮ Ϭ͘Ϭϯ Ϭ͘Ϭϰ Ϭ͘Ϭϱ Ϭ͘Ϭϲ Ϭ͘Ϭϳ Ϭ͘Ϭϴ

0 500 1000 1500 2000 2500 3000 3500 4000

C

KĚǀŝƐŶŽƐƚŵĞĚĨĂŬƚŽƌũĞŵŝŶůĞƚŶŽŬŽůŝēŝŶŽƉƌĞŵĞƓēĞŶŝŚ ƉůĂǀŝŶ

y = -Ϭ͘ϬϬϭϭǆнϬ͘ϬϭϮϱ ZϸсϬ͘ϬϮϭϯ Ϭ͘ϬϬϬϬ

Ϭ͘ϬϭϬϬ Ϭ͘ϬϮϬϬ Ϭ͘ϬϯϬϬ Ϭ͘ϬϰϬϬ Ϭ͘ϬϱϬϬ Ϭ͘ϬϲϬϬ Ϭ͘ϬϳϬϬ Ϭ͘ϬϴϬϬ

0 2 4 6 8 10

C

KĚǀŝƐŶŽƐƚŵĞĚĨĂŬƚŽƌũĞŵŝŶƐƉĞĐŝĨŝēŶŝŵƚƌĂŶƐƉŽƌƚŽŵ ƉůĂǀŝŶ