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Table 2 Sensitivity analysis on tensile strength

From: An approach to hydraulic fracture in geomaterials through a porous brittle damage material model

\({\varvec{T}}_{\varvec{c}}\) (MPa)

\({\varvec{p}}_{\varvec{1}}\) (MPa)

\({\varvec{p}}_{\varvec{N}}\) (MPa)

\({\varvec{S}}_{\varvec{f,V}}\) ( m\(^{\varvec{2}}\))

\({\varvec{V}}_{\varvec{f},{\varvec{max}}}\) ( mm\(^{\varvec{3}}\))

\({\varvec{S}}_{\varvec{f,1}}\) ( m\(^{\varvec{2}}\))

\({\varvec{V}}_{\varvec{f,1}}\) ( mm\(^{\varvec{3}}\))

3

8.00

9.00

0.464

1.480

0.2241

5.60 \(\, \times \,\) \(10^{-3}\)

4

10.15

10.35

0.388

0.870

0.0915

2.32 \(\, \times \,\) \(10^{-4}\)

5

11.32

15.29

0.499

0.337

0.0146

4.97 \(\, \times \,\) \(10^{-5}\)

  1. p1: fluid pressure for fault formation.
  2. \(p_N\): fluid pressure for normal opening. \(S_{f,V}\): fracture surface corresponding to the maximum fracture volume. \(V_{f,\mathrm{max}}\): maximum value of the fracture volume. \(S_{f,1}\): fracture surface at the first fault formation. \(V_{f,1}\): fracture volume at the first fault formation