(State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics, Chinese Academy of Sciences,Wuhan,Hubei 430071,China)
Wave propagation across rock masses and the induced ground motion have a great influence in the design and construction of underground cavern/tunnel constructions and mining activities. When arriving at the ground surface,the waves will cause the ground motion which is threatening to the stability and safety of the ground buildings. The present investigation was concerned with the interaction between the blast wave and a natural structural plane by using a time-domain recursive method. Based on the conservation of momentum at wave fronts,two types of interaction were analyzed first,i.e. the interaction between blast wave(i.e. longitudinal wave) and a linearly elastic structural plane,the interaction between stress waves(longitudinal wave or transverse wave) and a free surface. Next,wave propagation between a single structure plane and the ground surface was analyzed. Considering the time shifting function,the wave propagation equation for every wave arrival at the ground surface was established. On the basis of the derived wave propagation equations,the mathematical expressions were deduced for ground surface vibration caused by stress waves. As the result of the wave superposition,the particle velocity on the ground surface is subsequently obtained.
柴少波,李建春,李海波,李娜娜,刘婷婷. 平面P波入射含结构面岩体并引起地表面的振动研究[J]. 岩石力学与工程学报, 2015, 34(S2): 3888-3895.
CHAI Shaobo,LI Jianchun,LI Haibo,LI Nana,LIU Tingting. STUDY OF P-WAVE PROPAGATION ACROSS A NATURAL STRUCTURAL PLANE AND ITS INFLUENCE ON GROUND MOTION. , 2015, 34(S2): 3888-3895.
Langefors U,Kihlstrom B. The modern techniques of rockblasting[M]. New York:Wiley,1978:178-224.
[2]
Department of Defense Explosives Safety Board(DDESB).DOD 6055.9—STD US department of defense explosive safety board,ammunition and explosive safety standards[S].Washington,DC:[s.n.],2004.
[3]
North Atlantic Treaty Organization(NATO).AASTP—1 Manual of NATO safety principles for the storage of military ammunition and explosives[S]. [S.l.]:[s.n.],2010.
[4]
DOWDING CH. Construction vibration[M]. Englewood Cliffs:Prentice-Hall,1996:1-59.
[5]
HENRYCH J. The dynamics of explosion and its use[M]. New York:Elsevier Scientific,1979:43-76.
[6]
WISS JF,ASCE F. Construction vibrations:state-of-the-art[J]. Journalof Geotechnical Engineering Division,ASCE 1981,107(2):167-181.
[7]
GARVIN WW. Exact transient solution of the buried line source problem[C]//Proceedingsof the Royal Society of London. Series A,Mathematical and Physical Sciences.[S.l.]:[s.n.],1956,234:528-541.
[8]
HAO H. Effects of spatial variation of ground motions on large multiply-supported structures[R]. Berkeley:University of California,1989.
[9]
HAO H,WU YK,MA GW,et al. Characteristics of surface ground motions induced by blasts in jointed rock mass[J]. Soil Dynamics and Earthquake Engineering,2001,21(2):85-98.
[10]
SCHOENBER G. Elastic wave behavior across linear slip interfaces[J]. Journal of the Acoustical Society of America,1980,68(5):1 516-1 521.
[11]
ZHAO J,CAI J G. Transmission of elastic P-wave across single fracture with a nonlinear normal deformation behavior[J]. Rock Mechanics and Rock Engineering,2001,34(1):3-22.
[12]
LI J C,MA G W,HUANG X. Analysis of wave propagation through filled rock joint[J]. Rock Mechanics and Rock Engineering,2010,43(6):789-798.
[13]
KOLSKY H. Stress waves in solids[M]. Oxford:Clarendon Press,1953:41-84.
[14]
LI J C,MA G W. Analysis of blast wave interaction with a rock joint[J]. Rock Mechanics and Rock Engineering,2010,43(6):777-787.
[15]
LI J C,MA G W,ZHOU Y X. Analytical study of underground explosion induced ground surface motion[J]. Rock Mechanics and Rock Engineering,2012,45(6):1 037-1 046.
[16]
LI J C,LI H B,MA G W,et al. Assessment of underground tunnel stability to adjacent tunnel explosion[J]. Tunnelling and Underground Space Technology,2013,35:227-234.
[17]
PYRAK-NOLTE LJ,MYER LR,COOK NGW.Anisotropy in seismic velocities and amplitudes from multiple parallel fractures[J]. Journal of Geophysical Research-atmospheres,1990,95(B7):11345-11358.
[18]
COOK NGW. Natural joint in rock:mechanical,hydraulic and seismic behavior and properties under normal stress[J]. International Journal of Rock Mechanics and Mining Science andGeomechanics Abstracts,1992,29(3):198-223.
[19]
GU BL,SUÁREZ-RIVERA R,NIHEI KT,et al. Incidence of plane wave upon a fracture[J]. Journal of Geophysical Research,1996,101(B11):25337-25346.