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In-situ stress characterization and applications
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Revision as of 16:20, 25 August 2022
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16:20, 25 August 2022
→Vertical Component
Line 51:
Line 51:
The vertical stress (σv) acting on a horizontal plain can be estimated using the weight of the overlaying layers, as shown below:
The vertical stress (σv) acting on a horizontal plain can be estimated using the weight of the overlaying layers, as shown below:
−
v
=
z
+Pa (measured in Mega Pascal)
+
::<math>\sigma_v
=
\sigma_z
+ Pa
</math>
(measured in Mega Pascal)
−
:where
is the unit weight of the overlaying rock [mN/ m<sup>3</sup>
3
].
+
:where
σ
is the unit weight of the overlaying rock [mN/ m<sup>3</sup>].
:z is the depth to point below surface [m].
:z is the depth to point below surface [m].
:Pa is the atmospheric pressure (usually neglected = 0).
:Pa is the atmospheric pressure (usually neglected = 0).
Line 58:
Line 58:
In case the vertical stress is caused by multiple layers of different rock types, it can be estimated using the following formula:
In case the vertical stress is caused by multiple layers of different rock types, it can be estimated using the following formula:
−
v
=
aza
+
bzb
+
czc
...
+
::<math>\sigma_v
=
\sigma_aza
+
\sigma_bzb
+
\sigma_czc
...
</math>
:where a, b, and c represent different layers.
:where a, b, and c represent different layers.
Cwhitehurst
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