Geotechnical Correlations for Soils and Rocks by Verbrugge Jean-Claude; Schroeder Christian;

Author:Verbrugge, Jean-Claude; Schroeder, Christian; [Schroeder, Christian]
Language: eng
Format: epub
Publisher: John Wiley & Sons, Incorporated
Published: 2018-05-30T00:00:00+00:00

12.3.1.5. Relationship between UCS and E

The UCS is well correlated with Et (tangent modulus). This relation reflects the fact that the deformation at rupture is more or less constant with an order of magnitude of 2.10–3 to 4.10–3.

This value is in accordance with the values of the modulus ratio (MR = Et/UCS of intact rock) given by Deere [DEE 68] and Palmtröm and Singh [PAL 01] that ranges from 200 to 500, with an average of about 400.

The relationship between Deere and Miller [DEE 66], for all types of lithologies, is in imperial units (UCS in 103 psi and Et in 106 psi), which is given by:

[12.14]

As the independent term is small, it can be neglected and the relation can be rewritten (in IS units) as

[12.15]

with Et in GPa and UCS in MPa.

For carbonates, the relation is [SAC 90]

[12.16]

with Et in GPa and UCS in MPa.

For chalk, Monjoie and Schroeder [MON 89] obtained

[12.17]

with Et in GPa and UCS in MPa.

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