1. Hammerschmidt Equation
Predicts hydrate temperature depression based on inhibitor concentration in the aqueous phase.
Hammerschmidt Equation:
ΔT = K × W / (M × (100 - W))
Solved for concentration:
W = 100 × M × ΔT / (K + M × ΔT)
Where:
ΔT = Hydrate temperature depression (°F)
K = 2,335 (universal Hammerschmidt constant, °F form)
W = Weight % inhibitor in aqueous phase (0-100)
M = Molecular weight of inhibitor (g/mol)
Inhibitor Constants
| Inhibitor |
MW |
K |
Max W |
ΔT @ 25 wt% |
| Methanol |
32.04 |
2,335 |
~80% |
24.3°F |
| Ethanol |
46.07 |
2,335 |
~70% |
16.9°F |
| MEG |
62.07 |
2,335 |
~70% |
12.5°F |
| DEG |
106.12 |
2,335 |
~65% |
7.3°F |
| TEG |
150.17 |
2,335 |
~60% |
5.2°F |
Example: Methanol Concentration
Given: Need 30°F hydrate suppression using methanol
K = 2,335, M = 32.04
W = 100 × 32.04 × 30 / (2,335 + 32.04 × 30)
= 96,120 / 3,296
= 29.2 wt% methanol in aqueous phase
2. Methanol Injection
Methanol is effective but lost to both gas and liquid hydrocarbon phases. Total requirement = aqueous + gas losses + HC losses.
Total methanol requirement:
MeOH_total = MeOH_water + MeOH_gas + MeOH_HC
In aqueous phase (Hammerschmidt):
MeOH_water = W × W_rate / (100 - W) [lb/day]
Lost to gas phase:
MeOH_gas = Kᵥ × P × Q_gas [lb/day]
Where Kᵥ = vapor distribution factor (see table)
Lost to hydrocarbon liquid:
MeOH_HC ≈ 0.5-2% of condensate volume
Methanol Vapor Loss Factor (Kᵥ)
| T (°F) |
30 |
40 |
50 |
60 |
70 |
| Kᵥ (lb/MMSCF/psi) |
0.0015 |
0.0022 |
0.0032 |
0.0045 |
0.0062 |
-->
Example: Methanol Injection Rate
Given: 10 MMSCFD, 50 bbl/day water, 1000 psia, 40°F
Need 25 wt% MeOH in water
Water mass: 50 bbl × 350 lb/bbl = 17,500 lb/day
MeOH in water:
= 0.25 × 17,500 / (1 - 0.25) = 5,833 lb/day
MeOH to gas (Kᵥ = 0.0022 at 40°F):
= 0.0022 × 1000 × 10 = 22 lb/day
Total: 5,855 lb/day ÷ 6.6 lb/gal = 887 gal/day (21 bbl/day)
⚠ Safety: Methanol is toxic and flammable. Follow applicable handling codes.
3. Glycol (MEG) Injection
Glycols are preferred for pipelines because they're regenerable with minimal vapor losses.
MEG vs Methanol
| Factor |
Methanol |
MEG |
| Effectiveness (ΔT per wt%) |
Higher |
Lower |
| Recovery |
Usually lost |
Regenerated (80-90%) |
| Vapor loss |
2-10% |
<0.1% |
| HC solubility loss |
1-2% |
<0.5% |
| Cost driver |
Operating (makeup) |
Capital (regen unit) |
| Best application |
Short-term, remote |
Long pipelines, offshore |
Glycol Injection Calculation
Lean glycol injection rate:
G_lean = W_water × C_rich / (C_lean - C_rich)
Rich glycol concentration:
C_rich = 100 × M × ΔT / (2,335 + M × ΔT) [from Hammerschmidt]
Where:
G_lean = Lean glycol rate (lb/day)
W_water = Water production (lb/day)
C_lean = Lean glycol concentration (typically 80-90 wt%)
C_rich = Rich glycol concentration (from required ΔT)
K = 2,335 (universal constant, °F)
Example: MEG Injection Rate
Given: 100 bbl/day water, need 25°F suppression
Lean MEG = 85 wt%, M = 62.07, K = 2,335
Rich MEG concentration (Hammerschmidt):
C_rich = 100 × 62.07 × 25 / (2,335 + 62.07 × 25)
= 155,175 / 3,887 = 39.9 wt%
Water mass: 100 bbl × 350 lb/bbl = 35,000 lb/day
Lean MEG rate:
G_lean = 35,000 × 39.9 / (85 - 39.9)
= 1,396,500 / 45.1 = 30,965 lb/day
Volume: 30,965 lb ÷ 9.3 lb/gal = 3,330 gal/day (79 bbl/day)
4. Corrosion Inhibitors
Film-forming corrosion inhibitors protect against CO₂ and H₂S attack. Dosing is typically ppm-based on produced water volume.
Dosing Rates
| Application |
Typical Rate (ppm) |
| Sweet gas (CO₂ only) |
10-25 |
| Sour gas (H₂S present) |
25-50 |
| High CO₂ (>5 mol%) |
50-100 |
| Produced water systems |
25-75 |
Injection Rate Calculation
Continuous injection:
Rate (gal/day) = Q_water (bbl/day) × ppm × 42 / (ρ × 10⁶)
Where:
Q_water = Water production rate (bbl/day)
ppm = Target concentration
ρ = Inhibitor density (lb/gal), typically 8-9
42 = gal/bbl
Example:
500 bbl/day water, 50 ppm, ρ = 8.5 lb/gal
Rate = 500 × 50 × 42 / (8.5 × 10⁶) = 0.12 gal/day
References
- GPSA, Section 20
- NACE SP0106 – Internal Corrosion Control
- API RP 14E – Offshore Platform Piping