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A 100 m long hillslope has a uniform slope angle of 40° and is underlain by a 2 m thick soil, as illustrated below. The soil has the following physical properties: a friction angle of 30°, cohesion of 15 kPa, density of 2,000 kg/m³, and a hydraulic conductivity of 1000 cm/day. Assume that a long-lasting, steady rainstorm occurs so that all precipitation infiltrates the surface and travels through the soil layer as shallow subsurface storm flow. What precipitation rate would be required to trigger a landslide at the toe of the hillslope?

A 100 m long hillslope has a uniform slope angle of 40° and is underlain by a 2 m thick soil, as illustrated below. The soil has the following physical properties: a friction angle of 30°, cohesion of 15 kPa, density of 2,000 kg/m³, and a hydraulic conductivity of 1000 cm/day. Assume that a long-lasting, steady rainstorm occurs so that all precipitation infiltrates the surface and travels through the soil layer as shallow subsurface storm flow. What precipitation rate would be required to trigger a landslide at the toe of the hillslope?

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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A 100 m long hillslope has a uniform slope angle of 40° and is underlain by a 2 m thick soil, as illustrated below. The soil has the following physical properties: a friction angle of 30°, cohesion of 15 kPa, density of 2,000 kg/m³, and a hydraulic conductivity of 1000 cm/day. Assume that a long-lasting, steady rainstorm occurs so that all precipitation infiltrates the surface and travels through the soil layer as shallow subsurface storm flow. What precipitation rate would be required to trigger a landslide at the toe of the hillslope? Precipitation ↓↓ ↓ ↓ soil rock ↓ ↓ ↓ 100 m 2 m 40°
Transcribed Image Text:A 100 m long hillslope has a uniform slope angle of 40° and is underlain by a 2 m thick soil, as illustrated below. The soil has the following physical properties: a friction angle of 30°, cohesion of 15 kPa, density of 2,000 kg/m³, and a hydraulic conductivity of 1000 cm/day. Assume that a long-lasting, steady rainstorm occurs so that all precipitation infiltrates the surface and travels through the soil layer as shallow subsurface storm flow. What precipitation rate would be required to trigger a landslide at the toe of the hillslope? Precipitation ↓↓ ↓ ↓ soil rock ↓ ↓ ↓ 100 m 2 m 40°
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