Hydrate curve calculations in flotools

flotools 1.4.2 added support for calculating hydrate curves based on three different methods:

Method Inputs Outputs
Sloan Gas specific gravity & pressure Hydrate formation temperature
Motiee Gas specific gravity & pressure Hydrate formation temperature
Bahadori and Vuthaluru Gas composition & temperature Hydrate formation pressure

Sloan

The Sloan correlation calculates hydrate formation temperature by the following equation:

EQ_sloan

where the b_n terms are functions of gas specific gravity.

Motiee

The Motiee correlation calculates hydrate formation temperature by the following equation:

Motiee equation

where gamma is gas specific gravity and A, B, C, D, E, and F are constants.

Bahadori and Vuthuluru

The Bahadori and Vuthuluru correlation calculates hydrate formation pressure given gas temperature and composition by the following equation:

Bahadori and Vuthaluru equation

The terms a, b, c, and d are functions of the molecular weight of hydrate-forming components in the gas, as calculated from the gas composition.

Calculating gas molecular weight from gas composition

When a composition is entered, the gas specific gravity is calculated from the molecular weight of hydrate-forming components by the following formula

Hydrate formers molecular weight equation

Specific gravity equation

Where x_c is the mole percent of hydrate-forming component c in the gas. flotools will automatically normalize all mole fractions entered into the hydrate tool by dividing each individual mole fraction by the sum total of all mole fractions.

The hydrate-forming components and their molecular weights are defined as:

Component Molecular Weight
Nitrogen 28.014
Carbon Dioxide 44.010
Hydrogen Sulfide 34.000
Methane 16.043
Ethane 30.070
Propane 44.097
i-Butane 58.124
n-Butane 58.124

The molecular weight of air is defined as 28.964.

Hydrate Temperature Suppression

Hydrate temperature suppression is calculated using the Heriot-Watt correlation, given by:

Heriot-Watt equation

However, because the dissociation pressure term P0 is not typically known, flotools omits the entire Heriot-Watt final term term from the calculation, resulting in:

Heriot-Watt equation simplified

where the C_n terms are constants that are unique to the specific inhibitor component causing the temperature suppression.

Further Reference

Feel free to email us at support@evoleap.com with any further questions.

These papers contain more information about each of the specific correlations:

  • Sloan ED. Clathrate Hydrates of Natural Gas. 3rd ed. New York: Marcel Dekker Inc.; 2008.
  • Motiee M. Estimate possibility of hydrates, Hydrocarbon Processing, July 1991. p. 98.
  • Bahadori A., Vuthaluru H B. A novel correlation for estimation of hydrate forming conditions of natural gases, Journal of Natural Gas Chemistry; 2009, 18, 453-457.
  • Østergaard KK., Masoudi R., Tohidi B., Danesh A., Todd, A.C. A General Correlation for Predicting the Suppression of Hydrate Dissociation Temperature in the Presence of Thermodynamic Inhibitors, Journal of Petroleum Science and Engineering; 2005, 48, 70-80.