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. 2021 Dec 13;11:23846. doi: 10.1038/s41598-021-03297-6

Table 4.

The models of fracture interpretation.

Model type Formula Parameter description
Porosity Φf=Rm(1KrRxo-1RT)mf

Φf——fracture porosity, %

Rm——mud filtrate resistivity, Ω∙m

RXO——shallow lateral resistivity, Ω∙m

RT——deep lateral resistivity, Ω∙m

Kr——the coefficient of fracture distortion, in the range of 1–1.3. Itis 1.3 for horizontal fractures and 1 for vertical fractures

mf——fracture bond index, constant

ε—— fracture width, μm

Rb——matrix rock resistivity, Ω∙m

Kf——fracture penetration rate

Fracture angle logRb − logRT/logRb(> 0.15, high-angle fractures; 0.05 ~ 0.15, low-angle fractures)
High-angle unlocked fracture ε = 10,000 × Rm × (1RT-1Rb)/4
Low-angle unlocked fracture ε = 1000 × Rm × (1RT-1Rb)/1.2
Permeability Kf = 8.50 × 10–4 × ε2 × Φf

For the value of the fracture cementation index mf, the mf of the large-scale fractures is 1.04, and the mf of the structural fractures is 0.99 (derived from the rock data).