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(1)‚“æ~>Æ·~ã²æ. ò‰. Vol. 8, No. 4, pp. 1~11, 2003. {Kö Vž  *æzf >Ò*êê æz &V. j÷ ÁšÆÖ Á;vÆ ÁfÏB 1. 2. 3. 2. ‚“æî¶ö’ö æî~ãҚ ’¦ ‚“æî¶ö’ö æ~>Áæ¶ö ’¦ nÿ&v æ’~ã"" 1. 2. 3. The Changes of Aperture Variation and Hydraulic Conductivity for Compression Variability. Á. Á. Á. Byung-Gon Chae1 Cheol-Woo Lee2 Gyo-Cheol Jeong3 Yongje Kim2 1. Geological and Environmental Hazards Division, Korea Institute of Geoscience and Mineral Resources Groundwater and Geothermal Resources Division, Korea Institute of Geoscience and Mineral Resources 3 Department of Earth and Environmental Sciences, Andong, National University. 2. ABSTRACT In order to measure aperture variation dependent on normal stress and to characterize on relationship between aperture variation and hydraulic conductivity this study measured apertures of rock fractures under a high resolution confocal laser scanning microscope (CLSM) with application of five stages of uniaxial normal stresses. From this method the response of aperture can be continuously characterized on one specimen by different loads of normal stress. The results of measurements showed a rough geometry of fracture bearing non-uniform aperture. They also revealed different values of aperture variations according to the load stages on each position along a fracture due to the fracture roughness. Laboratory permeability tests were also conducted to evaluate the changes of permeability coefficients related to the aperture variations by different loads. The results of permeability tests revealed that the hydraulic conductivity was not reduced at a fixed rate with increase of normal load. Moreover, the rates of aperture variations did not match to those of hydraulic conductivity. The hydraulic conductivity calculated in this study did not follow the cubic law, representing that the parallel plate model is not suitable to express the fracture geometry corresponding to the results of aperture measurements under the CLSM. Key words : confocal laser scanning microsocpe (CLSM), aperture variation, fracture roughness, hydraulic conductivity, hydraulic aperture. º £ ^. {»K~ æzö Vž  *æz ·çj G;~ *æzf >Ò*êêf~ &ê¢ 2k~V *š š ’ö Bº U ê~ >ç ¢»{»Kj šö ³'b‚ &~šB šçê~ .6 .š& ʺ *ã (confocal laser scanning microscope; CLSM)j šÏ~ *~ ’V¢ G;~ :æ^ 𿢠³~& . Vš~ ’. "º Ò š ’~ G;O»f {Kæzö &‚ ÿ¢ò *~ >wj ³'b‚ 2k† > ®º 6š ßûš. . G;Ö"º *’V& ¢;~æ pf ®ïê‚ ;¢ Ö ¾ ¾æÚî .  –ê(roughness)‚ žš { Kö Vž * æzïf ¢;~æ p ¦ªî. ªj & . ' {KêöB *æzö Vž R>W æz· çj 2k~¶ ÚR>þj ÷¯~ ‚ Ö", ' {KêöB~ R>W æzê ¢;‚ 6²Nj ¾æÚ æ p * æzNš ’z¢ê R>Nf J®J ·f ãÖê &V>î . *ãj ۚ G;‚ bÒ' *". B FÚFÿ ã‚& >º >Ò*~ ’V Nš¢ 2k~V *š êÖj ‚ Ö", ‚ 8šæò bÒ' *. *Corresponding author : [email protected] : 2003. 05. 22 : 2003. 09. 02 : 2004. 3. 30. ö7>¢ î~ 5 Æ~. ²Òߞ¢ ræ. 1.

(2) j÷ ÁšÆÖÁ;vÆÁfÏB. 2. ·f ’V~ >Ò*š ’šr . 6‚, ÚR>þ Ö"¢ šÏ~ ’‚ R>ê>º âß»j Všæ pº © b‚ Òb–, š‚ Ò. f  ·ãš B‚ ï¯~æ p ®ïê‚ ·çj &öj ~~º ©b‚B, * ãj ۚ ç7 &V‚ *·ç" ¾ ¢~~º ©š . "BÚ : .6 .š& ʺ *ã, *æz, –ê, >Ò*êê, >Ò* 1.. B †. z> j Vž FÚFÿö – 'Ëj ~º º²º  OË, *(aperture), –†V(roughness), Ò ç ^Öê(connectivity) b‚ rJ^ ® . š 7 *f FÚFÿö jº‚ *†j ~V r^ö *æzº ¢ ÚöB R>ê> Ö;ö &Ë 7º‚ †j ‚. . * ’Vf ;ö Vž  Ú FÚFÿ, ß® R >ê>f~ &ê¢ C®V *š .cVöº ¾ rJê : &‚ ï¯6(parallel plate) Ξj &;‚ âß»(cubic law)j ÒÏ~& . ¾, âß»f >~ ’ö ~š j Vž FÚFÿj z šç ;{~² šC† > ìrš «Ã>î . šº š ®ïê‚ ;¢ &ææ‚ Fÿ゠*Ú~ *j ¢;~² Ö;† > ì V r^š . 6‚, ö {Kj &~šB šö Vž‚ *æzf R>ê>ö &‚ þ' ’ ê > ê¯ >î . š ’ ê ®ïê‚ j Vž FÚFÿ f âß»j ½Ú¾º ã˚ ®b–, ß® * š §j ãÖº š *çš z× vöj "Ë® . 6‚, FÚ~ vªf  *Úö  ¢^®º ©š jî¢ ®ïê‚ šš B‚ %º ¦ªöBº vªš ì îj š ®º ¦ª j V¢Bò FÚ& všº ²* j6 vª(channel flow)š B~º ©b‚ rJr . æ‚, ïê~æ pf ~ ;f šö Vž‚ * æz¢ ;{® 2k~º ©š Ö 7º~ . š¢ * š ;{‚  V~·çj 2k~ *j G;~V * ‚ ôf ’& ®î . .cVöº profilometer¢ šÏ ~  ·ã~ –†V¢ G;~ š¢ ۚ *j êÖ~& . 6‚, * æz·çj ç7 &V~ G ;~V *šBº  Úö .ê(resin), ö(epoxy), 6º Wood's metalj "«~º O»j &Ë ôš ÒÏ~ & . š O»ö ®ÚBº  ·ã~ ;çj B ‚ ê, š BB ©j ÎÞz(moulder)‚ ÒÏ~  ~ R« B®(replica)j B·Žb‚Ž ~ –†V¾ * j G;~& . š ’º & R>>W z>öB öVb æ[ ¾ª æ‚öB¦V öVb ¾ªê ¦"ræ z>öB~ /{ ö Vž *" R>W æz¢ ÚÚV *š ~& . 1). 2-5). ¯, æ‚ ~ êö Vž /{ç¢ þ öB Ò*~  /{ö Vž *~ æz·çj Všö BBB G ;O» z× ;&‚ Ëj¢ ۚ G;‚ ê, G;B * æz 8j Æ&‚ >Ò*êê¢ êÖ~ *æz ö Vž >Ò*êê æzßWj 2k~¶ ~& . š  ’öBº "– þ öB ÒÏ®~ © z ¸f šç ê~ .6 .š& ʺ *ã(confocal laser scanning microscope; CLSM)j šÏ~ 5ê~ >ç ¢»{»K æzö Vž * æzïj ç7 G;~& . š O»f resin ~ šbîj "«† ãÖ ÿ¢ò¢ šÏ‚ ³ 'ž *æz G;š ®&˂ ©"º Ò ÿ¢òö. ž ê~ {Kj &~šB *~ ³' æz¢ &V † > ®rš ßûš . 6‚, ÿ¢‚ ¢»{»Kj &~ šB ÚR>þj ~ {Kæzö Vž R>ê> ~ æz¢ ÚÚ, š¢ ۚ {Kö Vž *’V~ ³'ž æzf R>ê>~ &ê¢ jv~& .. 2,6-9). 10-14). 2..  * 5 >Ò*êê G;. zC ò š ’ö Òς zCòº ›ÖæöB º¢ Û š j‚ ’¢V –ãî z;zš . òº jB z Ú 7öB zÚ Ë»ö &ڂ ﯂ ¢ j <º F‚ ¦ªj F~ ^š 11 cm,  5.5 cm~ ’V‚ C 7B(GRA~GRG) B·~& (Fig. 1). š 7 GRGº 2.1.. 15,16). 17-20). 21-23). Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003. Fig. 1. Core specimens used for the study..

(3) {Kö Vž  *æzf >Ò*êê æz &V. 3. Fig. 2. Schematic description of slices of a specimen for aperture measurement.. Ò* .j þj *š B·‚ ò‚Ž B –šV šC öº Ž>æ p~b–, GRA~GRF~ 6B ò¢ ‚« 'b‚ šÏ~& . B·B òº b& ÚR>þö ÒÏ~&b–,. ÚR>þj ‚ ê CLSMj šÏ‚ *G;j * š š ò¢ ^š 2 cm‚ 5ª~& . *G;f 5B~ .ò 7 &ږ 3B ¦ªò šÏ~ ~& . 6 ‚,  5.5 cm 7 zÚ 7, ¯  7öB ·ãb‚  3 cm šÚ~ 'òj &çb‚ *j G;® .  šFº 11 cm ^š~ ò ç" ~¦ª, zÚ  & Ë¶Ò ¦ªf ò. ";öB  ¢¦& ŽÚ^ ž *'b‚ * š 9Úê ¦ª š ®bæ‚ š ¦ªj Bž~V *š &ږ 3B ¦ª"  3 cm 'ò G; ~& (Fig. 2).. ÚR>þ 5 *G; ^š 11 cm~ Ú¢ &çb‚ {Kæzö Vž R >W æz¢ 2k~V *š ÚR>þj ~& .. ÚR>þf zCòö /{" R>{j ÿö &~ šB R>þj >¯† > ®º Ëj(ELE 70-5130 series) ¢ šÏ~ nÿ&v æ’~ã""öB >¯~&. . R>þj b& ‚ šFº CLSM ~öB ò ö {Kj &~šB *j G;~Jš Ú¢ ^š 2 cm‚ .~¢ ~æ‚, ò& .F ãÖ R>þ j † > ìV r^š . š þöBº òö &~º /{j 10 MPa¦V 20 MParæ 1 MPaO Ã&Ê R>{f 150 KPa‚ ;Î çöB R>Wj 2k~ & . šº Ú~ ö &šæº {K~ ’Vö V ¢ R>W~ æz·çj –&‚ {K*Ïb‚ 2k~V *‚ ©š . 2.2.. 24). Fig. 3. (a) Confocal laser scanning microscope(CLSM), Olympus OLS 1100. (b) The specially manufactured compression device set on the stage of the CLSM.. *f .6 .š& ʺ *ã(confocal laser jš Ï~ ¢ ¾¢& ~ã’"öB G;~& (Fig. 3a). š Ëjº confocal optics¢ ÒÏ~æ‚ 7»(light axis) OËöB šçê¢ ’² BF~& . G;ʂö 'Ï ‚ *‚Îj šÏš ~ ·‚ V~·ç G;f b † 2Nö" 3Nö 𿢠¶F“² ³† > ®rš – ßûš–, Všö BBB G;Ë~ 7 &Ë ¸f šçê¢ <º . 6‚, Vš~ G;Ë~fº Ò VN *ã 2 ®¢ ۂ ò&V 5 G;š &Ë~æ‚ †ž * Ú  V~;~ ³f b†, æî' &6öB~ 7b 6;, V~·ç &V š ÿö šÚî > ® . *ãj šÏ‚ òG;f 5Vf 10V v «~~ & b2®¢ šÏ~& . š þöB xf yOË~ G; š çêº 1,024Ü1,024 pixel‚ J;~&b– 5V 2® ÒÏ  1² G;º*º 2.56Ü2.56 mm, 10V 2® ÒÏ ~ º*º 1.28 Ü1.28 mmš . b&  *Ú~ ·çj &V~ 𿢠áV *š 5V &b2®¢ šÏš R '~& . 6‚,  *f  îš Ö §V r^ö scanning microscope(CLSM); Olympus OLS 1100). 25). Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003.

(4) 4. j÷ ÁšÆÖÁ;vÆÁfÏB. 5V &b2®öB G;† ãÖ JN& Ö î ÖJ& ®bæ‚, ;{‚ *G;j *š 10V &b2®¢ šÏ ~& . G;*Ïf 2 mm‚B Îv 15B æ6öB 2Nö * G;, šæ ³ Ò ‚š ʶj  ~& . ‚š ʺf G;šö &‚ 2Nö š" 3Nö ;çj Bš & . ~¾~ {KêöB G;&ç ' *Úö &š R' " ʺš ƒ¾š ò¢ G; ·6b‚ šÿÎ ê, {Kj  r ê‚ ¸š *öB J«‚ ";j.  >~– *ö &‚ ;¢ ³~& . šr ' { Kê ê‚ ~ * æz öò jî¢  "æ~ V~·ç æzê "~~ &V~& . CLSM~ Êršæö ò¢ ËOÎ çöB òö. ª~~ {»Kj &~V *š ß> B·‚ {»Ëj¢ Ò Ï~& (Fig. 3b). š {»Ëjº F{j šÏ~ ö ¢»{»j &~º ©b‚B 1 MPa *‚ ‚& 200 MPa ræ {Kj &† > ® . š þf Vš~ þ "º Ò Úö {Kj ·~² &‚ çöB *ãj ۚ ç7 *j G;† > ®rš – ßûš . æ ‚, š þf ÿ¢ *j &çb‚ *ã ~öB {K æzö Vž * æz¢ ³'b‚ G;† > ®V r ^ö R Î"'ž Ö"¢ êš â > ® . .j Ú¢ šÏ~ 10~20 MPa º*öB 1 MPaO {Kj Ã&ʖ *æz¢ G;š ~j r, {K à &ïö jš *~ æz& –~ ¾æ¾æ p~ . V¢ B, š þöBº Úö >ÿb‚ –. &˂ ‚& {. Fig. 4. Images of fractures acquired using the five times of magnification lens. (a) 0 MPa, (b) 70 MPa. Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003.

(5) {Kö Vž  *æzf >Ò*êê æz &V. 5. Fig. 5. Examples of aperture values measured with the five stress level (GRA and GRE).. Kž 2 MPa, 10 MPa, 35.17 MPa, 52.76 MPa, 70.34 MPa ~ {»Kj 5êö žö &~šB ç* ^ ê~ {» Kj &~  *æz ·çj ÚÚ~ . &{~ v êº æ‚ ~~ j" »f êö š~º ©b‚B, šº Âê z>~ {Kö Vž *æz¢ Fº~V * ‚ ©š . 3.. {Kö Vž *æz ßW. ê~ ¢»{»Kö ~‚ *>'ž  V~·çj ÚÚV *š 5V {&2®¢ šÏš G;š' *Úö &š 2Nö .6 𿢠³~& . 5V {&2®‚ R'‚ šæº {Kj &~æ pf 0 MPaöB~  5. *~ ·ç"(Fig. 4a) îæï {Kêž 70 MPaöB~ * çš (Fig. 4b). R'‚ 𿢠š ~ ;& çFš–¾  ·ãš ï¯~æ pbæ‚ ÿ¢ ò ÚöBê *~ ’Vº ÿ¢~æ p . 6‚ {K j &~æ pf çöBê * f Ö §f ç¢ Fæ~ ®b–, ¢¦ªf š –~ 7/š ®º ç š . îæï {Kê~ ãÖ, *>'b‚ *f 6²‚ ·çj & . ¾, .V ç¦V "æö jš. Ö §f *j <–¾ ®ïê‚  V~;çb‚ žš š 7/š ®~  f *š –~ 6²~æ p~. (GRC3, GRD1, GRD2 in Fig. 4b).. ê~ ¢»{»Kj &~šB ' òö *Ïb‚ J;‚ 15B~ * G;æ6öBº 10V {& &b2® 5. Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003.

(6) j÷ ÁšÆÖÁ;vÆÁfÏB. 6. Table 1. Maximum and minimum variation of the apertures on each specimen Specimen GRA. GRB. GRC. GRA1 GRA2 GRA3 GRB1 GRB2 GRB3 GRC1 GRC2 GRC3. Max 0.054 0.048 0.040 0.139 0.094 0.063 0.034 0.035 0.028. Min 0.041 0.023 0.001 0.091 0.025 0.045 0.018 0.015 0.001. Fig. 6. Contacted fracture walls under 2 MPa at the 15th point of GRC 3.. ¢ šÏš *’V¢ G;~& (Fig. 5). ' òê ‚  {K" ‚& {K* * æzïj ÚÚš òö V¢ Ö ·~² ¾æÂ (Table 1). š7 GRC3~ 15® æ6öBº 0.001 mm~ æzïj  *æz & –~ ìî~ ©b‚ ¾æÒ . š æ6f Fig. 6öB º :f ?š {Kj &~æ pf çöBê  ·. Fig. 7. Aperture increase with increasing stress level. Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003. Specimen GRD. GRE. GRF. GRD1 GRD2 GRD3 GRE1 GRE2 GRE3 GRF1 GRF2 GRF3. Max 0.048 0.106 0.179 0.146 0.061 0.071 0.026 0.024 0.025. Min 0.020 0.008 0.101 0.004 0.030 0.048 0.008 0.014 0.008. 㠚š –~ ¿Ú ®º ·çj š ®bæ‚, ò ö {Kj &~z¢ê *~ æz& B† F& –~ ìº çš . GRDº Væ òf Ò {Kš Ã&Žö V¢ * ~ š *Ú æ p J®J Ã&~º ·çš ¾æÒ . GRD2~ 14® æ6" 15® æ6~ ãÖ ^ ® { Kêræº *š '' 0.01 mmO 6²~&b¾, J ®  {Kê¦V *’V& J®J Ã&~& (Fig. 7). GRD2 13® G;æ6f {Kš ·Ï~æ pº .Vê ¦V  ·ãš –~ %j ®º çšîb–, {K Ã&ö V¢ š ¦ªöB ^‚ *æš& B‚ &ê ‚ 14®f 15® æ6~ *š J®J Ã&‚ ©š . ¾, 14® æ6~ ãÖ 5® {KêöBº  * 6²& B~& . ‚Þ, GRD2 6® G;æ6f {K.V êöBº š B‚ %j ®æ pæò { Kš Ã&~šB *š 6²~ & ‚« {KêöBº š š B‚ î"~šB ç~ ž ¦ªö î‚Ú  ²(microcrack)š B~º ·çj & (Fig. 8). GRE1~ 11® æ6f "æ G;æ6öB~ 8 ú ® ¸f æzïj & . š æ6f "æ"º Ò .

(7) {Kö Vž  *æzf >Ò*êê æz &V. 7. Fig. 8. Decrease of aperture with increasing stress level and development of new crack..  ·ãšš jv' ï¯~² B~ ®b– .V * ê 9f ޚîbæ‚, {Kš Ã&Žö V¢ *~ 6 ²& "æö jš ’² B† > ®º V~' –šj <ºîV r^š . ‚Þ, GRE1~ 1®f 2® G;æ 6öBê {Kš Ã&Žö V¢ *š Ã&~º ·çš &V>î (Fig. 5). š f J® {Kêræº '' 0.01 mmf 0.02 mm~ * æzïj &b¾, U® {KêöB 0.02 mmf 0.03 mm~ *  Ã&*çš B~& . š æ6 f {Kš ·Ï~æ pf ‚. ç öBê *š Ö §f ç&b–, {Kš Ã&Žö V ¢  ·ãšš j* 7/~² >, z šç~ *  6²& ®&Ë~² >šB {Kj š²~V *š î‚Ú š B~² >î . î‚Ú ~ îš ²ÚæšB. ò Ú¦ö ^‚ *æš& B~&b– šö V¢ ‚. š B‚ çw~º æ6"º ž î‚Ú ¦ªš B‚ &wNö V¢ * š Ã&~² B ©š . ' òê * æzïf *>'b‚ ¢;‚ ãËj  šæ p G;æ6ö V¢ 8~ æz& Žj r > ® . š¾" ' æ6ê *š ò *Úö ÿ¢‚ {K š ·ÏŽöê ®’~ ·~² æz‚ šFº Fig. 4 öB º :f ?š ~ ·ãšš B‚ ï¯~æ p jB  *š Îv š² ª~–, V¢B {Kš Ã&~šB ö¾ *š §f ¦ªš 9f ¦ªö jš  ~ ¢¦ªš B‚ %² >šB *Ú'b‚ ÿ¢‚ *  æzïj &î > ìV r^š . šº ~ ª; ¢ Ò*~V *š ï¯6 Ξj ÒÏ~º ©f '.~. Table 2. Hydraulic conductivity calculated by mechanical aperture and hydraulic apertures and roughness effect Specimen. GRA. GRB. GRC. GRD. GRE. GRF. Pconf. (MPa) 10 15 20 10 15 20 10 15 20 10 15 20 10 15 20 10 15 20. bm (cm) 0.0098 0.0094 0.0090 0.0183 0.0170 0.0163 0.0312 0.0308 0.0305 0.0425 0.0417 0.0385 0.0263 0.0255 0.0248 0.0113 0.0110 0.0108. bh (cm) 0.0096 0.0091 0.0088 0.0179 0.0166 0.0159 0.0292 0.0287 0.0284 0.0422 0.0414 0.0379 0.0262 0.0254 0.0247 0.0112 0.0109 0.0107. Km (cm/sec) 2.780E-04 1.367E-04 6.687E-05 9.430E-04 7.616E-04 6.821E-04 1.311E-02 9.066E-03 6.358E-03 3.845E-02 3.424E-02 3.480E-02 1.382E-02 2.122E-03 4.109E-05 8.464E-06 1.699E-07 1.494E-08. Kh (cm/sec) 2.845E-04 1.404E-04 6.884E-05 9.630E-04 7.794E-04 6.970E-04 1.401E-02 9.718E-03 6.830E-03 3.872E-02 3.446E-02 3.533E-02 1.390E-02 2.134E-03 4.132E-05 8.541E-06 1.715E-07 1.508E-08. C(ξ)n 2,627 4,776 9,001 2,692 2,873 2,950 490 685 951 371 402 327 397 2,436 118,915 117,828 5,601,406 61,023,787. Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003.

(8) j÷ ÁšÆÖÁ;vÆÁfÏB. 8. æ prj ¾ æš & . 4.. *æzf >Ò*êê æzf~ &ê. Ú R>þj ۚ ö {Kj &~šB ò¢ –ö ¢;ï~ bš FÂF rræ~ ã"*j G;~ , š Ö"f *G;Ö"¢ šÏ~ 10 Mpa, 15 Mpa Ò 20 Mpa ^ êöB Darcy »ö "–~ R >ê>¢ Ö;~& (Table 2). ' òî G;B ¦ª ê  *~ ïj êÖ~ š¢ b"« š'êÖö šÏ~& . R>ê> êÖ Ö" GRAf GRBº 10 ~10 cm/sec ~ º*ö š~º R>ê>¢ ¾æî, GRCf GRD òº 10 ~10 cm/sec º*~ R>ê>¢ ž . GRE òº 10 ~10 cm/sec, GRF òº 10 ~10 cm/sec ~ R>ê> º*¢ ¾æî . V¢B, GRCf GRD  ò& ž ò ö jš jv' ¸f R>ê>¢ &^ ö‚~² bš všº ©b‚ 6B . GRA~GRD ò f {Kæzö Vž R>ê> æz& Ò ’æ pf ©b‚ ¾æÂ >š, GREf GRF~ ã Öº 10 MPa" 20 MPa~ R>ê>& '' 10 cm/sec " 10 cm/sec O Nš& B~& . V¢B, GREf GRF~ ãÖº ž òö jš {Kš Ã&Žö V¢ ò Ú  *~ 6²& ’² B‚ ©b‚ 'B. . šf ?f ·çj {Kö &‚  *æzf jv š š  * æzïš &Ë – ©f GRBf GRD ‚B '' 0.002cmf 0.004cm‚ ¾æÒ, š ~ ‚& ÞNê 0.001, 0.0021‚ ž ò ö jš ’² ¾æÒ. . >š, GREf GRF òº 0.0015 cm, 0.0005 cm~ * æzïj  ž òö jš Ò ’æ pf æzïj &ê (Table 3). ¾, R>ê> Ö;Ö" š. š J®J ¸f R>ê> æzïj šº ©f ~ bÒ' *(mechanical aperture)" B b~ vªš B −4. −2. −2. −5. -3. −5. −6. −8. −3. −2. Table 3. Average, difference and standard deviation of the aperture under the normal stress from 10 to 20 MPa Specimen. Average (cm). GRA GRB GRC GRD GRE GRF. 0.0094 0.0172 0.0308 0.0409 0.0255 0.0110. Difference under stress (cm) 0.0008 0.0020 0.0007 0.0040 0.0015 0.0005. Standard Deviation 0.0004 0.0010 0.0004 0.0021 0.0008 0.0002. Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003. ~º >Ò*(hydraulic aperture)~ ’V& B‚ š –, š š {K æzö &‚ >w;êê ªj z~ º ©š . bÒ' *" Nš& ®º >Ò*~ ’V¢ ÚÚ V *š Zimmerman" Bodvarsson(1996) š Bn‚. r j šÏ~ ÿ¢ òÚ ’V& ž *ö &‚ >Ò*j ’~& . 5). s 2 3 3 bh= ⟨ b⟩ 1 – 1.5 -------  ⟨ b⟩ . (1). VB <b>º *ï, sº *~ ‚&ÞNš.  (1)öB >Ò*, b f bÒ' * b¢ &š â ß»j ò—Ò > ®êƒ ‚ *š .  (1)f * ~ ‚&ÞN& Ã&†>ƒ, ¯  –†V& Ã&†>ƒ >Ò*š 6²~º ©j ¾æÞ . š j šÏš > Ò*j êւ Ö"ö Všš ' ò~ >Ò*f b Ò' *ö V¢ 0.0088 cm~0.0422 cm~ º* ÚöB. ·‚ 8j &æ, >Ò*f ‚² 0.0001 cmöB ‚ & 0.0021 cm ò¢ bÒ' * ·f 8j ¾æÞ. (Table 2). êÖj ۚ ’‚ >Ò*j šÏ~ Darcy »ö "–‚ R>ê>¢ ’š š bÒ' *j ۚ ’‚ >Ò*êêf ÿ¢‚ 8~ º*¢ <º . Darcy »ö "–‚ R>N" R>ê> Ö;f î ³ îj ۚ &>[~ Î ¦ªš î~² Ö> Ú vªš FæB  &;‚ ©š . ¾, š þf R>Wš Ô ~ V~·çö – 'Ëj Aº z> j ۂ FÚ vªšæ‚,  V~·ç 7 *~ ' Ëj ’² Aº ©b‚ " > ® . V¢B, š þöB Òς îj ۂ R>Nf  *~ 3ßö jf~ º ²* âß»j :ûb‚ ~ *"~ &ê¢ Úb º ©š z '.~ † > ® . ¾, Ú R>þj ۚ B G;‚ R>N(flow rate)" >Ò*~ &ê¢ ¾*‚ ¾æÞ Ö" R>N f *~ 3ßö jf~æ pº ©b‚ ¾æÒ (Fig. 9). GRA~ ãÖº –~ âß»ö "7‚ &ê¢ ¾æÚ ®æò  ž ò f âß»"º ž ·çj ¾æÚ  ® . ß®, GRD, GRE, GRF~ ãÖº âß»"º ç‚ Nš¢ <º &ê¢ šæ‚, *~ æz·ç" R>N"~ &êº ž ºžš Žþ ·ÏŽj r > ®. . ¯, âß»f ï¯6 Ξj &;‚ çöB~ * " R>N"~ &ê¢ ¾æÞ šæ‚, š® þöB f ?š ï¯~æ pf ¢ ãÖöº  j & ‚ 'Ï~º ©f '.~æ p . æ‚, š þöB 3 h. 5).

(9) {Kö Vž  *æzf >Ò*êê æz &V. 9. Fig. 9. Relationship between cube of hydraulic aperture and flow rate. (a) GRA, (b) GRB, (c) GRC, (d) GRD, (e) GRE, (f) GRF.. G;‚ *" R>N, Ò R>ê>~ &ê¢ ;{® ‚*~V *šBº ï¯~æ pf ~ V~·ç, ¯ – †V~ 'Ëj r" ?š J~¢ ‚ .. .O ž ;~ j6š ;W>Ú FÚFÿ ßWš ¢ öj z‚ .. 26). 5.. 2. ρw gb K= ----------------------------------n 12 µ[ 1 + C( x ) ]. (2). VB Cº ç>, xº –†V¢ ¾æÚº æ> Ò n f 1 – —(power)š . Fig. 9öB š B R>þ Ö"f âß»j ò —~æ pº šFº *öB J«‚ ©¾" ¢;~æ pf *’Vö Vž‚ –†V 'Ër^šæ‚, š¢ J~ V *š þöB ’‚ >Ò*êêf >Ò*j šÏ~  C(x) j êÖ~& (Table 2). êÖÖ"ö ~~š >Ò *êêf C(x) ~ 8f &ڂ F;'ž >jf&ê¢ & ê . ß®, >Ò*êê& &Ë Ôf GRF~ ãÖ C(x) 8š Ö ¸rj r > ® . š¢ ۚ C(x) f * " >Ò*êê &êö ®Ú * Ã&ö Vž >Ò*êê Ã&ö ˆb~ †j ~ ®b–, šº –†V~ B vb‚ '† > ® . š¾" {Kö &‚ *’V æ zï" R>W æzïš F҂ ãËj šæ p ² * Nš& ®, bÒ' *"º ž ’V~ >Ò* š šÒ~–, R>ê> 6‚ âß»j Všæ prf { Kêö V¢ ®ïê‚ ~ æ;š B~ šr – n. n. n. n. Æ ~. ê&® öš  (1)f ~ ;& ï¯~æ pf ã Öö &š >Ò*j êÖ~Vö ¦'~ . Zimmerman " Bodvarsson(1996) , Yeo(2201) º ç~ V~; ¢ &V~ b~ vªö ˆb †j ~º ~ %f ¦ªj C 8b‚ ¾æÚî .  f C 8~ ê >¢ J;Žb‚Ž ®ïê‚  ç~ >Ò*j . ;{® ;~V *š žK~& . ¾, šf ?f  êº ò¶Ú~ “¦' ßWö 'Ëj A~j &ËWš ®bæ‚ š ’öBº  š Bn‚ j Všæ p~. . 6‚,  þf šçöB {Kö Vž * æz¢ Úb¶ ‚ ©šæ‚ ž ’öB¾" çöB~ 2 Nö' V~·ç &Vf ê~æ p~ . R>ê>¢ êÖ~º O»f  ÿn  ’¢^ö B Bn>Ú z . ß® z> j Vž R>ê>~ ê Öf ï¯6 Ξj &;‚ âß»j šÏ~ êÖ~ Jº ê& ô~b¾, &¦ª~ zC f ï¯~æ p bæ‚ âß»f R>ê> 8j "Ë~º ã˚ ® ¢¦ ’*öBº âß»j Všæ pº . š¢ ; 5). 27). 8). Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003.

(10) j÷ ÁšÆÖÁ;vÆÁfÏB. 10. ~V *‚ ôf žKš ®îb¾ , B ~ V~ ·çj Ϫ® J~ R>ê>¢ ;{® êÖ~º © f jç jã® šÚææ p ® . V¢B, š® þ öBf ?f ®' V~·çj <º j Vž R> ê>º Darcy »š¾ âß»j Vž êÖ»b‚º ; {® êֆ > ì .  &¶ f š þöB ³‚  * ¶òf Chae et al.(2002) š >¯‚ –†V G;Ö"¢ šÏ~  îz»(homogenization method)ö V.‚ î‚Ú O»j ۚ j Vž R>ê> êÖj ê† ê³š. . îz»f ª~~ V~·çj &ê ®î‚ j &çb‚ ² Ê&¢(microscale)~ î‚ º²~ R> ê>¢ êւ ê, 𢠖 Ê&¢(macroscale)‚ {Ë ~ R>ê>¢ ’Žb‚Ž *Ú &çÚ~ R>ê>¢ ;{® êֆ > ® . V¢B, š ’öB &çb‚ ‚ j Vž R>ê>~ ;{‚ êÖf îz» V. ‚ ~ ºêö >¯† .;š . 5,27,28). 29). 30). 6.. Ö †. š ’º æ‚ ~ êö Vž /{ç¢ þ öB Ò*~ /{ö Vž *~ æz·çj Všö B BB G;O» z× ;&‚ Ëj¢ ۚ G;‚ ê, G;B * æz 8j Æ&‚ >Ò*êê¢ êÖ~ * æzö Vž >Ò*êê æzßWj 2k~¶ >¯~ & . š ’öBº "– þ öB ÒÏ®~ © z ¸f šçê~ .6 .š& ʺ *ã(confocal laser scanning microscope; CLSM)j šÏ~ 5ê~ >ç ¢»{»K æzö Vž * æzïj ç7 G;~&. . š O»f resin ~ šbîj "«† ãÖ ÿ¢ò¢ šÏ‚ ³'ž *æz G;š ®&˂ ©"º Ò ÿ¢òö ž ê~ {Kj &~šB *~ ³' æz¢ &V† > ®rš ßûš . 6‚, ÿ¢‚ ¢»{ »Kj &~šB ÚR>þj ~ {Kæzö V ž R>ê>~ æz¢ ÚÚ, š¢ ۚ {Kö Vž *’V~ ³'ž æzf R>ê>~ &ê¢ jv~&. . * G;Ö"º *~ ’V& ¢;~æ pb–, š‚ žš {Kš &šöö V¢ *~ æzïš ¢;~æ p  ¦ªî. ªj "î . ¯, .Vç~ ®ïê‚  V~·çö V¢ * 6²;ê& ¢öj {ž~ & .. ÚR>þÖ"¢ š ' {KêöB~ R>W æ Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003. zê ¢;‚ 6²Nj ¾æÚæ p~ . 6‚, {Kö & š ÚÊ ò~ * æzNš ’z¢ê R>Nf J®J – æz¢ ¾æÚæ pº ãÖê &V>î . šº bÒ ' *"º ž ’V~ >Ò*š šÒŽj æ~º ©b‚B, B êÖj š  Ö" ·f 8šæò bÒ' * ·f ’V~ >Ò*š ’šr . 6‚, ÚR >þ Ö"¢ šÏ~ R>ê>¢ ’š Ö", R>ê >º âß»j Všæ pº ©b‚ ¾æÒ . š‚ Ò. f  ·ãš B‚ ®ïê‚ ·çj &öj ~~ º ©b‚B, *ãj ۚ ç7 &V‚ *~ ·ç" ¾ ¢~~º ©š .. Ò Ò.  ’º 21^V *†Ú’BBÒëž >¶ö~ æ ³' {VFBBÒë~ ’jæö("B®^ 3-2-1)ö ~š >¯>îÛî .. ^^ò 1. Snow, D. T., “A parallel plate model of fractured permeable media”, Ph.D. Thesis, University of California, Berkeley, U.S.A., p. 331 (1965). 2. Raven, K. G. and Gale, J. E., “Water flow in a natural rock fracture as a function of stress and sample size”, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., 22(4), pp. 251-261 (1985). 3. Brown, S. B., “Fluid flow through rock joints: the effect of surface roughness”, J. Geophys. Res., 92(B2), pp. 1337-1347 (1987). 4. Gale, J. E., “Assessing the permeability characteristics of fractured rock”, GSA Special Paper 189, pp. 163-181. (1982). 5. Zimmerman, R. W. and Bodvarsson, G. S., “Hydraulic conductivity of rock fractures”, Transport in Porous Media, 23, pp. 1-30 (1996) . 6. Gale, J. E. “The effects of fracture type (induced versus natural) on the stress-fracture closure-fracture permeability relationships”, In Proc. 23rd U.S. Rock Mech. Symp., pp. 290-298 (1982). 7. Olsson, W. A. and Brown, S. R., “Hydromechanical response of a fracture undergoing compression and shear”, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., 30(7), pp. 845881 (1993). 8. Durham, W. B. and Bonner, B. P., “Self-propping and fluid flow in slightly offset joints at high effective pressures”, J. Geophys. Res., 99(B5), pp. 9391-9399 (1994). 9. Hakami, E. and Larsson, E., “Aperture measurements and flow experiments on a single natural fracture”, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., 33(4), pp. 395-404.

(11) {Kö Vž  *æzf >Ò*êê æz &V (1996). 10. Neretnieks, I., “A note on fracture flow dispersion mechanisms in the ground”, Water Resources Res., 19(2), pp. 364370 (1983). 11. Rasmuson, A. and Neretnieks, I., “Radionuclide transport in fast channels in crystalline rock”, Water Resources Res., 22(8), pp. 1247-1256 (1986). 12. Tsang, Y. W. and Tsang, C. F., “Channel model of flow through fractured media”, Water Resources Res., 23(3), pp. 467-479 (1987). 13. Tsang, Y. W., Tsang, C. F., Neretnieks, I. and Moreno, L., “Flow and tracer transport in fractured media: A variable aperture channel model and its properties”, Water Resources Res., 24(12), pp. 2049-2060 (1988) . 14. Berkowitz, B. and Braester, C., “Solute transport in fracture channel and parallel plate models”, Geophys. Res. Letters, 18(2), pp. 227-230 (1991). 15. Brown, S. R., Kranz, R. L. and Bonner, B. P., “Correlation between the surfaces of natural rock joints”, Geophys. Res. Letters, 13, pp. 1430-1433 (1986). 16. Brown, S. R. and Scholz, C. H., “Broad bandwidth study of the topography of natural rock surfaces”, J. Geophys. Res., 90(B14), pp. 12575-12582 (1985). 17. Gale, J. E., “Comparison of coupled fracture deformation and fluid flow models with direct measurements of fracture pore structure and stress-flow properties”, Proc. 28th U.S. Rock Mech. Symp., pp. 1213-1222 (1987). 18. Pyrak-Nolte, L. J., Myer, L. R., Cook, N. G. W. and Witherspoon, P. A., “Hydraulic and mechanical properties of natural fractures in low permeability rock”, Proc. 6th Int. Rock Mech. Symp., pp. 225-231 (1987). 19. Gentier, S., Billaux, D. and Vliet, L., “Laboratory testing of the voids of a fracture”, Rock Mech. Rock Eng., 22, pp. 149157 (1989).. 11. 20. Hakami, E. and Stephansson, O., “Experimental technique for aperture studies of intersecting joints”, Proc. ISRM Int. Symp. Eurock '93, pp. 301-308 (1993). 21. Hakami, E. and Barton, N., “Aperture measurements and flow experiments using transparent replicas of rock joints”, In Rock Joints, Barton Stephansson (Eds), Balkema, Rotterdam, pp. 383-390 (1990). 22. Hakami, E., “Joint aperture measurements; An experimental technique”, In Proc. Int. Symp. Fractured and Jointed Rock Massses, Lake Tahoe, California, U.S.A. (1992). 23. Persoff, P. and Pruess, K., “Two-phase flow visualization and relative permeability measurement in natural rough-walled rock fractures”, Water Resources Res., 31(5), pp. 1175-1186 (1995). 24. , , , ,“ ”, , 11(3), pp. 315-325 (2001). 25. , , ,“ ”, , 12(4), pp. 405-419 (2002). 26. Domenico, P. A. and Schwartz, F. W., “Physical and Chemical Hydrogeology”, second edition, John Wiley & Sons, (1998). 27. Yeo, I. W., “Effect of contact obstacles on fluid flow in rock fractures”, Geosciences Journal, 5(2), pp. 139-143 (2001). 28. Zimmerman, R. W., Chen, D. -W. and Cook, N. G. W., “The effect of contact area on the permeability of fractures”, Journal of Hydrology, 139, pp. 79-96 (1992). 29. Chae, B.-G., Ichikawa, Y., Jeong, G.-C., Seo, Y.-S., “Roughness measurement of rock discontinuities using a confocal laser scanning microscope and the Fourier sepctral, analysis”, Engineering Geology, In press (2002). 30. Ichikawa, Y., Kawamura, K., Uesugi, K., Seo, Y.-S. and Fujii, N., “Micro- and macrobehavior of granitic rock: observation and viscoelastic homogenization analysis”, Comput. Methods Appl. Mech. Engrg., 191, pp. 47-72 (2001).. ;vÆ j÷ fò¢ BÏC z;z~ ¶ç";ö Vž R>ê> ßW ’ æî j÷ ÇÒÏ ;vÆ ~ .š& *ãj šÏ‚ ® ³š~ –†V G; ’ æî. Journal of KoSSGE Vol. 8, No. 4, pp. 1~11, 2003.

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