Schedule Risk Timeline

Integrate slumping / bed-load risk across a multi-stage pump schedule. Each stage contributes risk·minutes proportional to its regime severity and θ/θ_c. Edit stages below to test what-if windows.

Shared inputs

Proppant

Carrier μ_f @ ref T (cP)

Carrier ρ @ ref T (ppg)

Reference T (°F)

Bottom-hole T (°F)

Activation B (K)

Perf d (in)

Frac height (ft)

Frac width (in)

Downhole carrier @ 180 °Fμ_f = 0.99 cPρ_f = 8.18 ppg

Pump schedule

#	Label	Rate (bpm)	Conc (vol)	Duration (min)
1
2
3
4
5

Cumulative dose54.0 risk·minover 54 min — status CRITICALworst regime: Sheet flow

Thresholds: safe ≤ 5 · watch ≤ 15 · caution ≤ 30 · critical > 30

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Per-stage breakdown

#	Stage	Regime	θ/θ_c	r (1/min)	Δ dose	Cum. dose	End t (min)
1	Pad	Sheet flow	25.26	1.000	8.00	8.00	8
2	0.5 ppa	Sheet flow	29.41	1.000	10.00	18.00	18
3	1.0 ppa	Sheet flow	33.90	1.000	12.00	30.00	30
4	2.0 ppa	Sheet flow	36.98	1.000	18.00	48.00	48
5	Flush	Sheet flow	28.28	1.000	6.00	54.00	54