Unsteady 1D and 2D hydraulic models with ice dam break for Quaternary megaflood, Altai Mountains, southern Siberia

One of the largest known floods occurred during the Late Quaternary, emanating from an ice-dammed lake in Asia. Glacial lake Kuray–Chuja was formed by a 600-m-high ice dam converging in the Chuja River valley of the Altai Mountains in southern Siberia. The dam impounded up to 594 km3 of water in the Kuray and Chuja basins. At least three floods from lake Kuray–Chuja occurred, but only the largest, or the most recent, is modelled herein. The discharge, through an ice dam breach by tunnelling or over-topping, is analysed using dam breach equations including one specifically developed for ice dam failures. From these calculations it is concluded that the ice dam need not have failed when the water was at a maximum depth (i.e. 600 m deep) but, in consideration with flood routing models, it is probable that the lake emptied by over-topping under conditions of maximum water level. Although an over-topping model is favoured, a collapse of the ice dam due to initial tunnel development in the ice body cannot be precluded. The resultant flood wave ran down the Chuja River valley to the confluence with the Katun River and beyond. One-dimensional and two-dimensional unsteady and non-uniform flow modelling of the flood wave routed down the river valleys is presented that includes modelling a channel bifurcation at the confluence and backwater effects. The depth of the flood model is constrained by the altitudes of the tops of giant bars deposited by the palaeoflood, which indicate maximum flood stage. The results of the ice dam failure calculations and the flow modelling are independent of each other and are consistent, indicating in each case a flood of the order of 10 M m3 s? 1, with best-fit solutions providing estimated peak flood discharges of 9 to 11 M m3 s? 1. A breach, 1 km wide and 250 m deep, developed in the ice dam in as little as 11.6 h whereas the flood duration required to evacuate the total lake volume was around 1 day.

[1]  Guus S. Stelling,et al.  A staggered conservative scheme for every Froude number in rapidly varied shallow water flows , 2003 .

[2]  Scott F. Bradford,et al.  Finite-Volume Model for Shallow-Water Flooding of Arbitrary Topography , 2002 .

[3]  K. Anastasiou,et al.  SOLUTION OF THE 2D SHALLOW WATER EQUATIONS USING THE FINITE VOLUME METHOD ON UNSTRUCTURED TRIANGULAR MESHES , 1997 .

[4]  V. Baker Paleohydrology and sedimentology of Lake Missoula flooding in eastern Washington , 1973 .

[5]  Victor R. Baker,et al.  Magnitudes and implications of peak discharges from glacial Lake Missoula , 1992 .

[6]  P. Bates,et al.  A simple raster-based model for flood inundation simulation , 2000 .

[7]  Z. Cao,et al.  Mathematical modelling of alluvial rivers: reality and myth. Part 1: General review , 2002 .

[8]  Z. Cao,et al.  Mathematical modelling of alluvial rivers: reality and myth. Part 2: special issues, 2002 , 2002 .

[9]  Javier Murillo,et al.  Extension of an explicit finite volume method to large time steps (CFL>1): application to shallow water flows , 2006 .

[10]  E. Toro Shock-Capturing Methods for Free-Surface Shallow Flows , 2001 .

[11]  Joseph R. Desloges,et al.  Estimates of Peak Discharge from the Drainage of Ice-Dammed Ape Lake, British Columbia, Canada , 1989, Journal of Glaciology.

[12]  J. T. Pardee Unusual currents in Glacial Lake Missoula, Montana , 1942 .

[13]  Pilar García-Navarro,et al.  A HIGH-RESOLUTION GODUNOV-TYPE SCHEME IN FINITE VOLUMES FOR THE 2D SHALLOW-WATER EQUATIONS , 1993 .

[14]  D. Zhao,et al.  Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling , 1996 .

[15]  G. Clarke,et al.  A coupled sheet‐conduit mechanism for jökulhlaup propagation , 2004 .

[16]  W. Haeberli Frequency and characteristics of glacier floods in the Swiss Alps , 1983 .

[17]  F. Lemperiere Dams that have failed by flooding: an analysis of 70 failures , 1993 .

[18]  V. Baker,et al.  Paleohydrology of Late Pleistocene Superflooding, Altay Mountains, Siberia , 1993, Science.

[19]  John E. Costa,et al.  OUTBURST FLOODS FROM GLACIER-DAMMED LAKES: THE EFFECT OF MODE OF LAKE DRAINAGE ON FLOOD MAGNITUDE , 1996 .

[20]  William A Thomas,et al.  Guidelines for Calculating and Routing a Dam-Break Flood. , 1977 .

[21]  Pilar García-Navarro,et al.  Zero mass error using unsteady wetting–drying conditions in shallow flows over dry irregular topography , 2004 .

[22]  Michael B Abbott,et al.  Coastal, estuarial and harbour engineers' reference book , 1993 .

[23]  Gareth Pender,et al.  Computational Dam-Break Hydraulics over Erodible Sediment Bed , 2004 .

[24]  D. F. Meyer,et al.  Hydrologic hazards in the lower Drift River basin associated with the 1989–1990 eruptions of Redoubt Volcano, Alaska , 1994 .

[25]  V. Baker The Study of Superfloods , 2002, Science.

[26]  Vijay P. Singh,et al.  Dam Breach Modeling Technology , 1996 .

[27]  S. Krivonogov,et al.  Stages in the development of the Darhad dammed lake (Northern Mongolia) during the Late Pleistocene and Holocene , 2005 .

[28]  K. Gregory,et al.  Palaeohydrology : understanding global change , 2003 .

[29]  J. Herget Reconstruction Of Pleistocene Ice-dammed Lake Outburst Floods In The Altai Mountains, Siberia , 2005 .

[30]  A. Russell,et al.  Controls on the formation and sudden drainage of glacier-impounded lakes: implications for jökulhlaup characteristics , 1999 .

[31]  G. Clarke Glacier outburst floods from "Hazard Lake'', Yukon Territory, and the problem of flood magnitude prediction , 1982 .

[32]  K. S. Erduran,et al.  Performance of finite volume solutions to the shallow water equations with shock‐capturing schemes , 2002 .

[33]  H. Tómasson The jökulhlaup from Katla in 1918 , 1996, Annals of Glaciology.

[34]  I. Villanueva,et al.  Linking Riemann and storage cell models for flood prediction , 2006 .

[35]  T. Jóhannesson Propagation of a subglacial flood wave during the initiation of a jökulhlaup , 2002 .

[36]  P. Alho,et al.  Reconstruction of the largest Holocene jökulhlaup within Jökulsá á Fjöllum, NE Iceland , 2005 .

[37]  M. Dzikowski,et al.  Evolution of glacial flow and drainage during the ablation season , 2006 .

[38]  A. G. Barnett High-resolution and non-oscillatory solution of the St. Venant equations in non-rectangular and non-prismatic channels , 2003 .

[39]  Brett F. Sanders,et al.  Performance of high-resolution, nonlevel bed, shallow-water models , 2005 .

[40]  Pilar García-Navarro,et al.  Dam-break flow simulation : some results for one-dimensional models of real cases , 1999 .

[41]  M. Berzins,et al.  An unstructured finite-volume algorithm for predicting flow in rivers and estuaries , 1998 .

[42]  G. Berger,et al.  Late Quaternary Catastrophic Flooding in the Altai Mountains of South–Central Siberia: A Synoptic Overview and an Introduction to Flood Deposit Sedimentology , 2009 .