Table 5 Fuzzy random sensitivity of axial compressive strength of concrete.

From: Fuzzy random sensitivity analysis for the overall structure reliability of reinforced concrete freezing wellbores in deep alluvium based on hidden Markov model

Mine

Deep/m

Conventional mean sensitivity

Conventional standard deviation sensitivity

Fuzzy random mean sensitivity

Fuzzy random standard deviation sensitivity

\(\mathop {\left( {\frac{{\partial \tilde{P}_{f} }}{{\partial \tilde{\mu }_{{x_{i} }} }}} \right)}\nolimits_{\alpha }^{ - }\)

\(\mathop {\left( {\frac{{\partial \tilde{P}_{f} }}{{\partial \tilde{\mu }_{{x_{i} }} }}} \right)}\nolimits_{\alpha }^{ + }\)

\(\mathop {\left( {\frac{{\partial \tilde{P}_{f} }}{{\partial \tilde{\sigma }_{{x_{i} }} }}} \right)}\nolimits_{\alpha }^{ - }\)

\(\mathop {\left( {\frac{{\partial \tilde{P}_{f} }}{{\partial \tilde{\sigma }_{{x_{i} }} }}} \right)}\nolimits_{\alpha }^{ + }\)

Main shaft

391–430

0.2508

0.0707

0.2015

0.2838

0.0679

0.0845

430–490

0.2824

0.0614

0.2340

0.3126

0.0617

0.0802

490–545

0.3037

0.0523

0.2716

0.3570

0.0504

0.0719

400–420

0.2665

0.0685

0.2255

0.3044

0.0529

0.0766

Auxiliary shaft

420–480

0.2803

0.0598

0.2629

0.3150

0.0512

0.0707

480–544

0.3249

0.0566

0.2932

0.3631

0.0478

0.0666

400–430

0.2489

0.0796

0.2179

0.2805

0.0754

0.0884

Air shaft

430–490

0.2764

0.0743

0.2401

0.2959

0.0713

0.0828

490–538

0.3120

0.0701

0.2829

0.3317

0.0669

0.0784