Rock mechanical properties: Difference between revisions

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[[File:Elastic moduli2.jpg|alt=|thumb|Table 1|none]]
[[File:Elastic moduli2.jpg|alt=|thumb|Table 1|none]]
{| class="wikitable"
!
!
!
!
|-
|'''''à'''''
|''E,K''
|''E,μ''
|''E,v''
|-
|
|
|
|
|-
|
|
|
|
|}
{| class="wikitable"
|'''Given'''
|
|
|
|
|
|
|
|
|
|
|-
|''à''
|''E,K''
|''E,μ''
|''E,v''
|''E,λ''
|''K,μ''
|''K,v''
|''K,λ''
|''μ,v''
|''μ,λ''
|''λ,v''
|-
|''Wanted''
|
|
|
|
|
|
|
|
|
|
|-
|''E''
|''—''
|''—''
|''—''
|''—''
|''9K μ''
''3K + μ''
|''3K(1−2v)''
|''9K(K−λ)''
''3K−λ''
|''2μ(1+v)''
|''μ(3λ+μ)''
''λ+μ''
|''λ(1+v)(1-2v)''
''v''
|-
|''K''
|''—''
|''___Eμ___''
''3(3μ−E)''
|''____E___''
''3(1−2v)''
|''E+3λ+[(E+λ)<sup>2</sup> +8λ<sup>2</sup>] <sup>½</sup>''
''6''
|''—''
|''—''
|''—''
|''2μ(1+v)''
''3(1−2v)''
|''λ+  <sup>2</sup>μ''
  ''<sup>3</sup>''
|''λ(1+v)''
''3v''
|-
|[null ''μ'']
|''3EK''
''9K-E''
|''—''
|''____E___''
''2(1+v)''
|''E-3λ+[(E+λ)<sup>2</sup> +8λ<sup>2</sup>]<sup>1/2</sup>''
''4''
|''—''
|''3K(1−2v)''
''2(1+v)''
|''3 (K-2λ)''
''2''
|''—''
|''—''
|''2(1-2v)''
''2v''
|-
|'''''v'''''
|''1 _ E''
''2   6K''
|''E _ 1''
  ''2μ''
|''—''
|''[(E+λ)<sup>2</sup> + 8λ<sup>2</sup>] <sup>½</sup> − E − h''
''4λ''
|''3K−2μ''
''2(3K+μ)''
|''—''
|''___λ___''
''3K−λ''
|''—''
|''___λ___''
''2(λ+μ)''
|''—''
|-
|[null ''λ'']
|''3K(3K−E)''
''9K−E''
|''μ(E−2μ''
''3μ−E''
|''____vE_____''   
''(1+v)(1−2v)''
|''—''
|''K- <sup>2</sup> μ''
 ''<sup>3</sup>''
|''3Kv''
''1+v''
|''—''
|''2μv''
''1−2v''
|''—''
|''—''
|}


== Computing mechanical rock properties ==
== Computing mechanical rock properties ==
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