Wellbore Genius
Analytical trust gates — beyond Buckley-Leverett
Three closed-form references the kernel must reproduce: capillary imbibition (McWhorter-Sunada), areal sweep (Morel-Seytoux 5-spot), and radial transient pressure (Theis). Drift-guards already lock the libs; this page lets you tune inputs and read the textbook invariants.
Trust verdict
Overall PASS · 3/3 gates pass
Each gate is evaluated against its textbook invariants for your current inputs. Click a gate to jump to its tab. Chips below identify the specific inputs implicated in any failing or warning check.
McWhorter-Sunada (1-D capillary)PASS
- Porosity in (0, 1) — φ = 0.180
- S_w,inlet > S_wc, both in [0, 1] — S_wc=0.200, S_w,inlet=0.700
- Coefficient A > 0 — A = 1.00e-4
- Area > 0 — Area = 1.000 m²
- Front advances ∝ √t — x(4t)/x(t) = 2.000 (expect 2.000)
Morel-Seytoux (5-spot sweep)PASS
- Mobility ratio M > 0 — M = 1.000
- E_A_bt finite in (0, 1) — E_A_bt = 0.7178
- t_D_bt finite > 0 — t_D_bt = 0.7178
- CGM reference at M=1 (0.7178) — |E_A_bt − 0.7178| = 0
- E_A(t_D) non-decreasing — monotone non-decreasing
Theis (radial transient)PASS
- q [bbl/d] > 0 — 500.00
- μ [cp] > 0 — 1.000
- k [md] > 0 — 10.000
- h [ft] > 0 — 50.00
- φ [-] > 0 — 0.150
- c_t [1/psi] > 0 — 1.00e-5
- r_obs [ft] > 0 — 50.00
- Late-time semilog slope ≈ 162.6 qμ/(kh) — obs 160.77 vs ref 162.60 psi/cycle (rel 0.011)
Manual adjust
Current values across all three gates. Edits recompute the verdicts instantly.
McWhorter-Sunada (1-D capillary)
Morel-Seytoux (5-spot sweep)
Theis (radial transient)
Snapshot history (1)
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McWhorter-Sunada — 1-D capillary imbibition
Q_w(t) = A · √t · | self-similar in x/√tSemi-infinite core, water imbibes from x=0 against an oil-saturated matrix with no viscous gradient. Front advances ∝ √t (slope ≈ 0.5 on log-log).