Wellbore Genius

Matrix Flow Extras

dual porosity · Langmuir adsorption · Knudsen diffusion

Matrix Flow Inputs

k_matrix (md)

Shape factor σ (1/ft²)

V_L (scf/ton)

p_L (psi)

Pore diameter (nm)

Temperature (°F)

Pressure [bar]

Diffusion

Wilke (1950) D_m

Multicomponent binary diffusivity → couples into D_eff

Langmuir Adsorption Isotherm

Dual Porosity & Diffusion Summary

q_mf (1/s)

2.930e-8

ω (storativity)

1.0000

D_k (m²/s)

1.161e-6

D_eff (m²/s)

1.152e-7

1.64e+1

Regime

free-molecular

Wilke D_m [m²/s]

1.279e-7

D_m source

Wilke (1950)

Diffusion Diagnostics

Δp (m → f) [psi]

4000

Δy (m → f) [-]

0.2500

τ_adv [s]

4.71e+8

τ_diff [s]

8.06e+6

Volumetric source terms [mol/(m³·s)]

q_adv (Darcy)

4.102e-3

q_diff (Wilke+Kn)

2.171e-4

q_des (Langmuir)

9.938e-6

q_total

4.329e-3

Contribution breakdown (|q_i| / Σ|q|)

Advection: 94.8%

Diffusion: 5.0%

Desorption: 0.2%

D_eff Wilke share

90.1%

D_eff Knudsen share

9.9%

|q_diff| / |q_des|

2.184e+1