Table 2 Input variables and their probability distributions.

From: Spatiotemporal evolution analysis of multiscale fracture dynamics in hydraulic shale stimulation via integrated acoustic emission and CT imaging

Variable symbol

Description

Distribution parameters

Unit

Physical significance

X1

Natural fracture count

Discrete uniform U{1,6}

count

Fracture network density

X2

Natural fracture angle

U{0, 90}

°

Fracture orientation anisotropy

X3

Activated bedding planes

Discrete uniform U{1,6}

count

Bedding plane activation level

X4

Horizontal stress difference

Uniform U{0,8}

MPa

Fracture propagation control

X5

Injection rate

Uniform U{0,50}

ml/min

Energy input rate

X6

Fluid viscosity

U{0,50}

mPa s

Fracturing fluid properties

X7

Hybrid fluid viscosity ratio

Uniform {0,1}

/

Fluid compatibility