Wellbore Genius

EDFM + MINC

Analytical EDFM face transmissibility T_mf = C·k·A/⟨d⟩ (Li-Lee 2008) plus a MINC nested-shell 1-D implicit-Euler transient with Dirichlet fracture BC. Field units.

When to use this tool

Reach for EDFM + MINC when the matrix→fracture transfer time τ is within ~10× of your forecast horizon (multi-week to multi-month). For short shut-ins where τ ≫ horizon, single-porosity is accurate enough — use the workflow calculator to check.

← Downhole workflow (τ check)DFN plan-view Realism comparison

Inputs

Matrix k [mD]

1e-6 – 1e4 mD

Viscosity μ [cp]

0.05 – 1000 cp

Matrix cell size ⊥ frac [ft]

0.1 – 1000 ft

Contact area A [ft²]

1 – 1e6 ft²

MINC shells N [-]

integer 2 – 50

Outer matrix half-thickness [ft]

0.1 – 1000 ft

Porosity φ [-]

1e-4 – 0.6

c_t [1/psi]

1e-8 – 1e-2 1/psi

Fracture BC p [psi]

0 – 30 000 psi

Initial matrix p [psi]

0 – 30 000 psi

Δt [days]

1e-4 – 365 days

Steps [-]

integer 1 – 100 000

⟨d⟩ EDFM [ft]

5.000

T_mf [ft³/day/psi]

0.0422

Σ influx [ft³/ft²]

0.0210

Import CSV

MINC transient charts

Loading MINC shell time series…

Transient timing

Matrix response time L²/η

0.11 d

Simulated window

1.2 d

Shells reach fracture pressure

step 20 · 0.4 d

Every shell is within 3.5 psi of the fracture boundary by day 0.4, so later steps show the equalized end state rather than a short-circuit. Shorten Δt or the step count to resolve the transient itself.

MINC per-shell pressure history (table)

Step	t [d]	Shell 0 [psi]	Shell 1 [psi]	Shell 2 [psi]	Shell 3 [psi]	Shell 4 [psi]	Shell 5 [psi]
0	0.0	4670	5564	6152	6527	6749	6851
3	0.1	4140	4410	4651	4846	4983	5053
6	0.1	4047	4139	4221	4288	4336	4360
9	0.2	4016	4047	4075	4098	4114	4123
12	0.2	4006	4016	4026	4034	4039	4042
15	0.3	4002	4006	4009	4011	4013	4014
18	0.4	4001	4002	4003	4004	4005	4005
21	0.4	4000	4001	4001	4001	4002	4002
24	0.5	4000	4000	4000	4000	4001	4001
27	0.5	4000	4000	4000	4000	4000	4000
30	0.6	4000	4000	4000	4000	4000	4000
33	0.7	4000	4000	4000	4000	4000	4000
36	0.7	4000	4000	4000	4000	4000	4000
39	0.8	4000	4000	4000	4000	4000	4000
42	0.8	4000	4000	4000	4000	4000	4000
45	0.9	4000	4000	4000	4000	4000	4000
48	1.0	4000	4000	4000	4000	4000	4000
51	1.0	4000	4000	4000	4000	4000	4000
54	1.1	4000	4000	4000	4000	4000	4000
57	1.1	4000	4000	4000	4000	4000	4000