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Ovy QO T}r}U F-D =oW =] Qt Qv TQ l N WRN Q=DiQ Note Q W=OOsjce.journals.sharif.edu/article_1356_abb560880e5d68e2bd... · 2021. 4. 19. · u =DU @ = ' h} Q u= Qt a | U Ovy t |:v i

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Page 1: Ovy QO T}r}U F-D =oW =] Qt Qv TQ l N WRN Q=DiQ Note Q W=OOsjce.journals.sharif.edu/article_1356_abb560880e5d68e2bd... · 2021. 4. 19. · u =DU @ = ' h} Q u= Qt a | U Ovy t |:v i

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QO u}}=B |=yOYQO QO T}r}Uwv=v Q}F-=D |UQQ@ x@ |Oa@l} s}mLD x=oDUO R= xO=iDU==yV}=tR; G}=Dv "CU= xOW xDN=OQB Cw=iDt VvD Kw]U QO sQv TQ l =N |WRN Q=DiQxOt; CUOx@ G}=Dv "Ov=xOW |@=} RQ= pNrND C@Uv w x} wv=F sm =QD ?} Q[ \=@DQ= T=U=Q@x@ C@Uv |v}}=B |WRN |=ypmWQ}}eD 'T}r}Uwv=v |w=L |=yxvwtv xm OvyO|t u=WvOYQO l} =D T}r}Uwv=v uOwRi= =@ u}vJty "OvyO|t u=Wv sQv TQ l =N |=yxvwtv

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xtOkt "1uOW p�=R QF= QO |UQ |=yl =N sm =QD Qou=}@ xm Ot; pta x@ �1925� |k=RQD|=yp=U QO |}xOWs=Hv= |y=oW}=tR; C=ar=]t [2]"CU= xOw@ |}xQiL ?; Q=Wi'1936 p=U QO "Ovm|t u=}@ =Q TQ |Q}PBsm =QD QO u=tR Q}F-=D [4]'1942 w [3]'1936CQwYx@ |UQ |=yl =N |=Q@ C@=F VvD CLD u=tR sD} Q=or � CUWv |x]@=QQw_vt x@ u=tR x@ xDU@=w pOt Q=@ u}rw= |=Q@ '1942 p=U QO w [3]"OW u=}@ |]NwO u=wvax@ x} wv=F sm =QD w x}rw= s}mLD u; QO xm |UQ |=yl =N |WRN Q=DiQ KQWVQ=Ro |Qo}O u=QoWywSB p@=kt QO =t= [4]"OW x�=Q= 'OwW|t xDiQo Q_v QO =RHt Ov}=Qi[5]'OUQ@ QiY x@ pNrND xm |v=tR Qot 'OW=@ |]N Ov=wD|tv Q=Owtv u}= xm OvOQm[6]"OUQ|t OwN |}=yv Q=Okt x@ RwQ 21 pw] QO =yl =N |=Q@ CUWv ,qwtat ww |Q=PoQ=@V}B uwJty |}=yVwQ R= 'sQv TQ |wQ Q@ R} Qm =N E=OL= QO ,qwtat[7]"OwW|t xO=iDU= l =N \}=QW Ow@y@ |=Q@ QF-wt |=yVwQ u=wvax@ C}@FD VwQ=Q |O=} R xHwD ,=Q}N= 'xOvvmC}@FD u=wvax@ T=}ktwv=v O=wt R= xO=iDU= 'u=}t u}= QOKw]U w q=@ |xO=ar=jwi |xS} w K]U Cra x@ C=QPwv=v "CU= xOQm ?rH OwN x@R=i %xrtH R=� l =N Qo}O C=@}mQD =@ |r=ai Q=}U@ VvmsyQ@ '=yQ=@ =@ Q}PBVvm =w'=yO=wtwv=v |xrtH R= "OvQ=O �TQ l =N |vOat O=wt w 'l}v=oQ= O=wt '=yuw}D=m '`}=tOvDUy SiO2 lJwm C=QP R= |}xawtHt pt=W =yT}r}Uwv=v "OvDUy =yT}r}Uwv=v"OvyO|t p}mWD =Q |QDnQR@ C=QP w pYDt Qo}Om} x@|}=}t}W |=yOvw}B j} Q] R= xm

C=ar=]t 'sQv |=yl =N |wQ Q@ |R=Uu=tDN=U w C}atH uwRi=RwQ OWQ x@ xHwD =@|=ypmWQ}}eD XwYNx@ l =N |=ypmWQ}}eD |OOa w |}=QLY '|y=oW}=tR;|=yQ=DiQ 'Cw=iDt |=y|oS} w =@ =yl =N [1]"CU= |QwQ[ sQv |=yl =N |WRN'|}=}t}W '|m} R}i |=yOv}=Qi ,qwtat "OvyO|t u=Wv OwN R= u=tR CWPo =@ |irDNt=} Vy=m '|oOvwWsQv =} w OQD Q=DiQ x@ QHvt Ov=wD|t u=tR x@ xDU@=w |m}v=mt w'u}= Q@ xwqa "OwW l =N |=y|oS} w R= |QU l} QO Q}}eD =} w Ctw=kt V}=Ri="OQ=Po@ Q}F-=D l =N |Q=O}=B QO Ov=wD|t u=tR CWPo =@ l =N Q=DN=U QO C=Q}}eD

|tyt Vr=J '|RwQt= Vv=O R= xO=iDU= =@ l =N COtR=QO Q=DiQ |v}@V}B'OQ}o|t Q=Qk |D@=F |Q=PoQ=@ CLD l =N xm |v=tR "CU= l}vmDw�S |UOvyt QO"OvwW|t xO}t=v x} wv=F sm =QD xm Ovm|t x@ QHD u=tR CWPo =@ =Q |}=ypmWQ}}eDC=mQL 'Q}PBsm =QD |=yu}tR |wQ Q@ xR=U CUWv pt=W 'QwmPt |=ypmWQ}}eD""" w pvwD h=Q]= sQv |=yu}tR uOW xOQWi 'xOW|Q=OQ@Owo =} w |a}@] |=y?}W

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DOI:10.24200/J30.2018.1356

Page 2: Ovy QO T}r}U F-D =oW =] Qt Qv TQ l N WRN Q=DiQ Note Q W=OOsjce.journals.sharif.edu/article_1356_abb560880e5d68e2bd... · 2021. 4. 19. · u =DU @ = ' h} Q u= Qt a | U Ovy t |:v i

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�References� `@=vt1. Havel, F. \Creep in soft soils", Ph D Thesis, Faculty of

Engineering Science and Technology, Norwegian Univer-sity (2004).

2. Terzaghi, K., Peck, R.B. and Mesri, G., Soil Mechanicsin Engineering Practice, 3rd ed., John Wiley & Sons,New York (1996).

3. Buisman, A.S.K. \Results of long duration settlementtests", Proceedings of 1st International Conference onSoil Mechanics and Foundation Engineering, Harvard

University, Massachusetts, USA, 1(3), pp. 103-106 (22-26 June, 1936).

4. Taylor, D.W. \Research on consolidation of clays", Re-port Serial No. 82, Department of Civil EngineeringMIT, Cambridge (1942).

5. Lo, K.Y. \Secondary compression of clays", ASCE,87(4), pp. 61-88 (1961).

6. Wahls, H.E.,\Analysis of primary and secondary con-solidation", Journal of the Soil Mechanics and Founda-tions Division American Society of Civil Engineers, 88,pp.207-231 (1962).

7. Elsawy , M. and Kamal, M. \In uence of aging on bear-ing capacity of circular footing resting on soft", HBRCJournal, 9(2), pp. 256-262 (2013).

8. Noll, M.R., Bartlett C. and Dochat, T.M. \In situ per-meability reduction and chemical �xation using colloidalsilica", Water Well Journal, 11, pp. 443-458 (1992).

140

Page 9: Ovy QO T}r}U F-D =oW =] Qt Qv TQ l N WRN Q=DiQ Note Q W=OOsjce.journals.sharif.edu/article_1356_abb560880e5d68e2bd... · 2021. 4. 19. · u =DU @ = ' h} Q u= Qt a | U Ovy t |:v i

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9. Gallagher, P.M., Conlee, C.T. and Rollins, K.M. \Full-scale �eld testin of colloidal silica grouting for mitigationof liquefaction risk", ASCE Journal, 133(2), pp. 2-186(2007).

10. Burton, C. \Laboratory testing of strength fracture be-haviour and hydraulic conductivity", Tunnelling andUnderground Space Technology, 24(6) ,pp. 603-607(2009).

11. Majdi, M., Urumieyi, A. and Nikudel, M.R. \Investiga-tion of the e�ect nanosilica on geotechnical engineeringof clay soil", The First National Conference of Soil Me-chanic and Foundation Engineering, University of Ra-jayi, Tehran, pp. 55-56 (3-4 Dec, 2014).

12. Fatahi, M., Ladarian, F. and Khazayi, V. \Investigationof the e�ects of bentonite and nanosilica in stabiliza-tion of divergent soil", The First National Conference ofSoil Mechanic and Foundation Engineering, Universityof Rajayi, Tehran, pp. 72-78 (3-4 Dec, 2014).

13. Mesri, G. and Godlewski, P.M. \Time- and Stress Com-pressibility inter relationship", Joural of GeotechnicalEngineering, 103(5), pp. 417-430 (1977).

14. Newland, P. L. and Allely, B. H. \A study of the consol-idation characteristics of a clay", Geotechnique, 10(2),pp. 62-74 (1960).

15. Wahls, H.E. \Analysis of primary and secondary consol-idation", Journal of the Soil Mechanics and FoundationsDivision American Society of Civil Engineers, 88(6), pp.207-231 (1962).

16. Walker, L.K. \Secondary settlement in sensitive clays",Canadian Geotechnical Journal, 6(2), pp. 219-222(1969).

17. Mesri , G. and Castro, A. \C�=Cc concept and K0 duringsecondary compression", Journal of Geotechnical Engi-neering, 113(3), pp. 230-247 (1987).

18. Mitchell, J.K. and Soga, K., Fundamentals of Soil, 3rdEdition, John Wiley & Sons, New Jersy (2005).

19. Mitchell, J.K. and Soga, K., Fundamentals of Soil Be-havior, 3rd ed., John Wiley & Sons, New Jersey (2005).

20. Mesri, G. and Vardhanabhuti, B. \Compression of gran-ular materials", Canadian Geotechnical Journal, 46(4),pp. 369-392 (2009).

21. Kuhn, M.R. \Micromechanical aspects of soil creep",PhD thesis, University of California, Berkeley (1987).

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