Wellbore Genius

Downhole Simulator

Performance modeling

v1.0Solver: OK

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Engineering Physics Roadmap v8

Verification: Unspecified

Live demo of the six gap-closers shipped after the reviewer audit on model verification, shale physics, slurry & screen-out, wellbore detail, boundary conditions, and theoretical background. Every card here is wired to a pure, independently-tested library.

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Gap 1 — Analytical verification suite

KGD (Geertsma 1969), PKN (Nordgren 1972) and Radial K-vertex (Savitski-Detournay 2002) closed-form half-length and wellbore width, scored vs the simulator's own evaluator.

KGD plane-strain (Geertsma & de Klerk 1969)

JPT Dec 1969 pp. 1571-1581

x_f = 1210.8 ft · w_w = 0.468 in

max rel error 0.000%

PKN viscosity-dominated (Nordgren 1972)

SPE-3009

x_f = 2193.3 ft · w_w = 0.375 in

max rel error 0.000%

Radial K-vertex (Savitski-Detournay 2002)

IJSS 39 pp.6311

x_f = 1550.3 ft · w_w = 0.016 in

max rel error 0.000%

Gap 2 — Shale physics (dual-continuum + swelling)

Warren-Root storativity ω and interporosity coefficient λ, Kazemi matrix→fracture flux, and Palmer-Mansoori adsorption-induced swelling. Plug-in seam matches the IMPES kernelstepBlackOil3P source-vector contract.

Dual-continuum preset

Matrix perm k_m [mD]Fracture perm k_f [mD]Block size L [ft]

Warren-Root / Kazemi

ω = 2.44e-2
λ = 4.80e-7
σ = 0.480 1/ft²
q_mf = 8.11e-4 bbl/(d·ft³)

matrix-dominated

Palmer-Mansoori swelling

p_ref [psi]p [psi]ε_LP_L [psi]φ₀K [psi]M [psi]

ε_s = 8.000×10⁻³
φ = 0.0508
k/k₀ = 1.050

Gap 2c — Langmuir adsorption (isotherm + Δφ)

Δφ uplift 33.7%

V_ads(p) = V_L · p / (P_L + p). Cumulative desorption from p_init → p_now liberates free gas equivalent to an effective-porosity bump Δφ; an adsorbed-layer coverage θ contributes a near-wellbore pseudo-skin. Inputs persist to localStorage.

Layer nameV_L [scf/ton] (typ. 50-500)P_L [psi] (typ. 200-3000)ρ_rock [lb/ft³]

p_init [psi]p_now [psi]Matrix porosity φ [-]

V(p_init) = 130.4 scf/ton
V(p_now) = 100.0 scf/ton
ΔV = 30.4 scf/ton
= 2.404 scf/ft³

Δφ / k effects

Δφ = 2.356e-2
φ_eff = 0.09356
θ = 0.667
k_eff/k = 0.667
s_ads = +0.405

Isotherm V(p) [scf/ton]

0	0.0
250	37.5
500	60.0
1000	85.7
2000	109.1
4000	126.3
6000	133.3
8000	137.1

Refs: Langmuir, JACS 40 (1918) 1361 · Ambrose et al. SPE-141416 (2010) shale storage · Civan, Transp Porous Med 82 (2010) effective-porosity coupling.

Gap 3 — Slurry PVT + 4-mode tip screen-out

Proppant concentration [ppga]

ρ_eff = 10.54 ppg
µ_eff = 46.6 cP (Krieger-Dougherty)
φ_solids = 15.3 %
v_settle = 0.000 in/s (hindered)

Independent severities — operator sees WHICH mode is firing, not a single composite score.

pad-deficient

Pad pumped 80% of Carter design

amber

perf-restriction

q/perf 2.40 vs limit 2.00 bpm

amber

dehydration

tip w/Carter ratio = 0.24

critical

bridging

w/d = 3.21 (need ≥ 3)

watch

Gap 4a — Joint-string builder

3 joints

Per-joint ID/OD/grade/eccentricity stitched top-down. Single-joint collapses to the legacy A, D, w_n the transient single-phase and drift-flux multiphase solvers consumed. Length-weighted mean ID and cross-sectional area feed `WellboreGeometry` without breaking existing kernels.

Total length

13800 ft

Mean ID

4.308 in

Mean A

0.1020 ft²

Min burst

8844 psi

#	A [ft²]	Burst [psi]
1	0.1305	8844
2	0.0997	15928
3	0.0838	14178

Gap 4 — Near-wellbore tortuosity Δp

Romero / Cleary perf-misalignment pressure drop layered on top of the joint-string builder. Slurry density auto-syncs with the Gap 3 cppa unless overridden.

Perf ID [in]Open perfsRate [bpm]Slurry ρ [ppg]Misalign [°]

Δp augment

2573 psi

Perf Δp ×

1.47

Misalign

28°

Severity

critical

Gap 5 — Typed BC catalog

Dirichlet stress tensor, Neumann time-varying shadows, Robin compliance and free-water-table BCs, evaluated at t = 30 min, q = 80 bpm.

Isotropic far-field σ

dirichlet-stress-tensor

value @ 30 min = 7000 psi

Permian-Wolfcamp anisotropic σ

dirichlet-stress-tensor

value @ 30 min = 7800 psi

Free water table at 1000 ft

free-water-table

value @ 30 min = 434 psi

Gap 6 — Theoretical background backfill

Each library above carries inline JSDoc with the derivation reference and field-unit conversion in plain text. The manual pulls them through manualContent.ts so every equation in the PDF is one click from the underlying code.

KGD: Geertsma & de Klerk, JPT Dec 1969 pp. 1571-1581
PKN: Nordgren, SPE-3009 1972
Radial K-vertex: Savitski & Detournay, IJSS 39 (2002) p. 6311
Warren-Root: SPE-426 1963 · Kazemi: SPE-5719 1976
Palmer-Mansoori: SPE-52607 1998
Krieger-Dougherty: Trans. Soc. Rheol. 3 (1959) 137
Romero / Cleary misalignment Δp: SPE-30506

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Dual-continuum (Warren-Root / Kazemi)no data

Palmer-Mansoori matrix swellingno data

Near-wellbore tortuosity (Romero-Cleary)no data

Slurry PVT + screen-out (Gap 3)no data

Joint-string wellbore (API 5CT)no data

Langmuir adsorption (Gap shale physics)no data

Gap 1 — Analytical verification suite

Gap 2 — Shale physics (dual-continuum + swelling)

Gap 2c — Langmuir adsorption (isotherm + Δφ)

Gap 3 — Slurry PVT + 4-mode tip screen-out

Gap 4a — Joint-string builder

Gap 4 — Near-wellbore tortuosity Δp

Gap 5 — Typed BC catalog

Gap 6 — Theoretical background backfill

Report history