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6期 周虎等:不同耕作措施下土壤孔隙的多重分形特征 1099 2001103(12:203-29 pAg kml19991(6:108-104 [71 zh Q 民,et al Mu l200367511361-1369 744305319 [20 18 14(3/4:284-294 0Mh.062-060 [2TaA,Heck R ]Gm J etal fmnce of hon 【9】BislN DizM C.SaaA.4 al Fmctl and mukifmctl a of mnages of oil Joumal of Hwmbgx 2006 sCeb2081s881-8g 332M1/4-211-310 22 and solidl-phases n bnary wordmne sin.Noaln Proceses 2007.14 508-511 ous stmucums G odema 2006 134(3/4):318-326 23]Cheng Q.The gling box method for multifmetlmodeling Cam outers and 1999 25(9):1 073-1 079 mciences199925(9949-961 [24]SAS Insttute ho SAS /STAT user's guide Rekae 8 2).NC 以 Fabner K.The mulfractal peetnm of staiticallyse Car 2001 s Joumal of Theoretical Pmbabilit:1994 7(3):681-702 [1]GnutH TamuiA M.W ienerM R.Murcal absi of par B//PeigenH-0.J s H.Sape D Chac and fractals No tile size distrbutins n oilEnvinmental Scimce and Tedr Yok Sprnger Vedas 1992 0gy19983211名-1182 (4] 血atg cale ig ung he method of me Fcta山200917(3):351-36 200165(5:136-1367 [27]M uler J Cha 5 Roisn C 超aGh ng he strucum ui知 187(12 2 22 [28 K I Key JR.etalM ulb alng g 2D m ages Jou mal of 【16 322 tal an 252-520 [29 md208.8(1 200-226 15 [30 Zho H.LiB La Y.N of 2009621:173-10 MULTIFRACTAL CHARACTER ISTICS OF SOIL PORE STRUCTURE UNDER DIFFERENT TILLAGE SYSTEMS Zhou Hu LiBaoguo Lu Yihong"t Zheng Jnyu L i W uren (ID parment ofSoil and WaterSciences Chia Agriouluml Unirri Bejng 100193 China) (2 JinAcalany Agrialuml Scienees Chargdhun 130124 Chia) Abstract Soil pore systens uder no tillage (NT)tillage (MT)in the black soil ne ofNorheas Ch na were e tracted from soil th n sectionsw ih dgital in ge pocess techn qques and themultifractal characleristics of soil pore structure were studied w ith m ehod ofm on ent Results ind icate thatNT decreased them acoporosity (500 m)n 1994-2011 China Academic Journal Electronic Publishing House.All rights reserved.http://www.cnki.net 6期 周 虎等: 不同耕作措施下土壤孔隙的多重分形特征 1099 m a, 2001, 103 ( 1 /2): 203! 229 [ 7 ] Pach epsky Y, Yakovch enko V, RabenhorstM C, et al Fractal pa ram eters of pore su rfaces as derived from m icrom orphological da ta: effect of longterm m anagem ent p racticesGeod erm a, 1996, 74 ( 34 ): 305! 319 [ 8 ] Anderson A N, M cbratney A B, Fitzpatrick E A Soil mass, sur face, and sp ectral fractal d im en sions estim ated from th in section photograph s So il Science Society of Am erica Journ a,l 1996, 60 ( 4): 962! 969 [ 9 ] B ird N, D iazM C, Saa A, et al Fracta l and m u ltifractal ana lysis of porescale im ages of so il Jou rnal of H yd rology, 2006, 322( 1 /4): 211! 219 [ 10 ] Dathe A, T arqu isAM, Perrier EMu ltifractal an alysis of the pore and solidphases in b in ary tw od im ension al im ages of natu ral por ous structu resG eoderm a, 2006, 134( 3 /4): 318! 326 [ 11 ] Cheng QM ultifractality and spatial statisticsCompu ters and Ge osciences, 1999, 25( 9 ): 949! 961 [ 12 ] Falconer KThe mu ltifractal spectrum of statistically selfsmi ilar m easures Journal of TheoreticalProbab ility, 1994, 7 ( 3): 681! 702 [ 13 ] G rou tH, Tarqu is A M, W iesnerM RMu ltifractal analysis of par ticle size d istribution s in So ilE nvironm ental Science and Tech no logy, 1998, 32: 1 176! 1 182 [ 14 ] PosadasA N, G im enez D, B ittelliM, et alM u ltifractal character ization of so il particlesize d istribu tions Soil S cien ce Society of Am erica Jou rna,l 2001, 65 ( 5): 1 361! 1 367 [ 15 ] Roisin C JA M u ltifractal app roach for assessing th e structu ral state of tilled soils Soil S cien ce Society of Am erica Jou rna,l 2007, 71( 1 ): 15! 25 [ 16 ] M oreno R G, A lvarezM C, Requ ejo A S, et alM u ltifractal anal ysis of soil su rface roughness Vadose Zon e Jou rna,l 2008, 7 ( 2): 512! 520 [ 17 ] Perfect E, Gen try R W, SukopM C, et alM u ltifractal S ierp in sk i carpets: Theory and app lication to upscaling effective saturated hydraulic condu ctivityG eoderm a, 2006, 134( 34): 240! 252 [ 18 ] K ravchenko A N, Boast C W, Bu llock D GMu ltifractal analysis of soil spatial variabilityAgronomy Journa,l 1999, 91(6): 1 033! 1 041 [ 19] Posadas A N, G im enez D, Qu iroz R, et alMu ltifractal character ization of soil pore system s Soil Science Society ofAm erica Jou r na,l 2003, 67( 5 ): 1 361! 1 369 [ 20] Perrier E, Tarqu isA M, D athe AA program for fractal and m u l tifractal analysis of tw od im en sional b inary im ages: C om puter algorithm s versu s m ath em atical theoryG eod erm a, 2006, 134 ( 3 /4): 284! 294 [ 21] Tarqu is A M, H eck R J, Grau JB, et al In fluen ce of th reshold ing in m ass and en tropy d im ension of 3D soil im agesNon lin Proces sesGeophys, 2008, 15: 881! 891 [ 22] San JM, C an iego F J, Garc G C, et alRepresen tative elem en tary area form u ltifractal analysis of soil porosity using en tropy d im en sionN on lin Processes Geophys, 2007, 14: 503! 511 [ 23] C heng QTh e glid ing b ox m ethod for mu ltifractalm odeling Com puters and Geosciences, 1999, 25( 9): 1 073! 1 079 [ 24] SAS Institute Inc SAS /STAT u sers guide ( Release 8 2 ) NC: C ary, 2001 [ 25] Evertsz C J G, M andelbrot B BM u ltifractal m easures Append ix B / /Pe itgen H O, J rgens H, Saupe DChaos and fractalsN ew York: Springer Verlag, 1992 [ 26] Perfect E, Tarqu isAM, B irdN RAccu racy of generalized d im en sion s estim ated from grayscale im ages u sing th e m ethod of m o m entsF ractals, 2009, 17 ( 3): 351! 363 [ 27] M uller JCharacterization of pore space in chalk by mu ltifractal ana lysis Jou rnal ofH yd rology, 1996, 187( 1 /2 ): 215! 222 [ 28] Tarqu isA M, M cinnesK J, Key JR, et alM u ltiscaling an alysis in a structured clay soil using 2D im ages Jou rnal of H ydrology, 2006, 322( 1 /4 ): 236! 246 [ 29] Kravch enko A N, Martin M A, Smu cker A J, et al L im itations in determ in ing mu ltifracta l sp ectra from poresolid soil aggregate im agesVadose Zone Journ a,l 2009, 8 ( 1): 220! 226 [ 30] Zhou H, L iB, Lu YM icrom orphological analysis of so il stru cture under no tillage m anagem en t in the b lack soil zone of Northeast C h ina Jou rnal ofM ountain Science, 2009, 6( 2 ): 173! 180 MULTIFRACTAL CHARACTER ISTICS OF SOIL PORE STRUCTURE UNDER DIFFERENT TILLAGE SYSTEM S Zhou H u 1 L iBaoguo 1 L Yizhong 1 Zheng Jinyu 2 L iuW uren 2 ( 1D epartm ent of S oil and Water S ciences, Ch ina Ag ricu ltu ral University, Beijing 100193, Ch ina ) ( 2 Jilin Acad emy of Agricu ltu ral S ciences, Chang chun 130124, Ch ina ) Abstract So il pore system s under no tillage (NT ) andm oldboard tillage (MT ) in the black soil zone ofNortheast Ch ina were ex tracted from so il th in sectionsw ith d ig ital mi age process techn iques and themultifractal characteristics of soil pore structure were studied w ith m ethod ofm om ent Results ind icate thatNT decreased the m acroporosity ( > 500 m ) in
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