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El Salvador - GFDRR

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I. DESCRIPTION OF THE EVENT | 13<br />

Specialized literature 9 offers models to determine the speed historically achieved by lahars. A “typical”<br />

lahar can reach great speed on a volcano’s steepest slope (up to 50 m/s). In the upper part of the alluvial<br />

fan, speed may vary from 15 m/s to 25 m/s, while in the lower part, in the fan’s softest zone, it may vary<br />

from 5 m/s to 15 m/s. However, it is surprising how lahars are able to maintain their movement for many<br />

kilometers, even on nearly flat lands (as occurred on the coastal plains of the Department of La Paz). The<br />

lahars moved 6 to 10 kms, carrying rocks weighing 10 to 20 tons, with slopes no steeper than 2 to 3 o . This<br />

was possible due to the high water content that reduced friction on the stream bed to nearly zero.<br />

The cut of the section of the lahar that flowed over Verapaz measured nearly 100 m 2 . With a flow<br />

speed of 10 m/s, the discharge must have been around 1,000 m 3 /s. Damage to vegetation and buildings<br />

in Verapaz shows that the lahar had a height of about 3 meters. If one assumes a speed of 10 m/s on the<br />

vertical wall, pressure would have been around 200 kPa (kiloPascals per area), which corresponds to 20<br />

ton/m 2 , a force that even highly resistant buildings could not have withstood.<br />

9<br />

• Kinematic models of straight-line movement of flows:<br />

a) V = Vo + gt; where V: final speed (m/s), Vo: initial speed (m/s), a: acceleration of movement (m/s 2 ), and t: arrival time<br />

at stabilization zone (seconds).<br />

b) e = Vot + 1/2gt2; where e: the scope of material conveyed (in km).<br />

c) V2 = Vo2 + 2gh.<br />

• Darcy Law to determine the discharge of material conveyed in m3/seconds.<br />

Q = V. A; V: speed of flow (m/s), A: section of channel through which the flow moves given m 2<br />

• Mathematical model of relationship for the calculation of geometric parameters of mudflow:<br />

V = Width (A, given in meters) x Length (l, given in meters) x Thickness (E, given in meters) = m 3 ; where E: is the scope<br />

of material conveyed in km; and A = width x l given in m 2 , being the physical area occupied by the mudflow.

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