Spreading of a granular mass on a horizontal plane

被引:295
作者
Lajeunesse, E
Mangeney-Castelnau, A
Vilotte, JP
机构
[1] Inst Phys Globe, Grp Rech Eros & Eaux Continentales, Lab Dynam Syst Geol, F-75252 Paris 05, France
[2] Inst Phys Globe, Dept Sismol, F-75252 Paris 05, France
关键词
D O I
10.1063/1.1736611
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The transient surface flow occurring when a cylindrical pile of dry granular material is suddenly allowed to spread on a horizontal plane is investigated experimentally as a function of the released mass M, the initial aspect ratio a of the granular cylinder pile, the properties of the underlying substrate (smooth or rough, rigid or erodible) and the bead size. Two different flow regimes leading to three different deposit morphologies are observed as a function of the initial aspect ratio a, whatever the substrate properties and the bead size. For aless than or similar to3, the granular mass spreads through an avalanche on its flanks producing either truncated cone or conical deposits. For agreater than or similar to3, the upper part of the column descends conserving its shape while the foot of the pile propagates radially outward. The obtained deposit looks like a "Mexican hat" and the slope angle at the foot of the deposit is observed to saturate at a value of the order of 5degrees. For a given ground and bead size, the flow dynamics and the deposit morphology are found to be independent of M and to vary only with the initial aspect ratio a. Further investigation indicates that the deposit morphology depends only slightly on the substrate properties and the bead size, except when a becomes large. In particular the same dynamical regimes and deposit morphologies are recovered for the same range of a, independent of the substrate properties or the bead size. Moreover the rescaled deposit radius, the rescaled spreading velocity, and the fraction of energy dissipated during the flow do not depend on M, the substrate properties, or the bead size, but vary only with a. We believe this to be the signature of the fact that the flow develops near the free surface of the granular pile so that the dynamics is essentially controlled by grain/grain interactions. (C) 2004 American Institute of Physics.
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页码:2371 / 2381
页数:11
相关论文
共 18 条
[1]   Model for the dynamics of sandpile surfaces [J].
Bouchaud, J.P. ;
Cates, M.E. ;
Ravi Prakash, J. ;
Edwards, S.F. .
Journal De Physique, I, 1994, 4 (10)
[2]   Evolution of a step in a granular material: the Sinai problem [J].
Boutreux, T ;
deGennes, PG .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE CHIMIE ASTRONOMIE, 1997, 325 (02) :85-89
[3]   Sensitivity of granular surface flows to preparation [J].
Daerr, A ;
Douady, S .
EUROPHYSICS LETTERS, 1999, 47 (03) :324-330
[4]  
HUPPERT H, 2003, GRAN PART LAD FLOWS
[5]   THE DYNAMICS OF AVALANCHES OF GRANULAR-MATERIALS FROM INITIATION TO RUNOUT .2. EXPERIMENTS [J].
HUTTER, K ;
KOCH, T ;
PLUSS, C ;
SAVAGE, SB .
ACTA MECHANICA, 1995, 109 (1-4) :127-165
[6]  
Iverson RM, 2001, GEOLOGY, V29, P115, DOI 10.1130/0091-7613(2001)029<0115:NVOGMF>2.0.CO
[7]  
2
[8]   The physics of debris flows [J].
Iverson, RM .
REVIEWS OF GEOPHYSICS, 1997, 35 (03) :245-296
[9]   The mobility of long-runout landslides [J].
Legros, F .
ENGINEERING GEOLOGY, 2002, 63 (3-4) :301-331
[10]   Modeling of debris avalanche and generated water waves:: Application to real and potential events in Montserrat [J].
Mangeney, A ;
Heinrich, PH ;
Roche, R ;
Boudon, G ;
Cheminée, JL .
PHYSICS AND CHEMISTRY OF THE EARTH PART A-SOLID EARTH AND GEODESY, 2000, 25 (9-11) :741-745