Development of Predictive Techniques for Estimating Liquid Water-Hydrate Equilibrium of Water-Hydrocarbon System

<table> Typical solubility 
(<svg height="7.1624999" id="M24" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1625)">
<g transform="translate(72,-66.27)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
</g>
</g>
</svg>)-temperature (<svg height="10.325" id="M25" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.225 10.325" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
</g>
</g>
</svg>) diagram for water-single (pure) hydrate former (limiting
reactant) system. <svg height="14.4125" id="M26" style="vertical-align:-3.27548pt" version="1.1" viewbox="0 0 24.299999 14.4125" width="24.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.4125)">
<g transform="translate(72,-60.47)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑊</tspan>
</text>
</g>
</g>
</svg>: liquid water; <svg height="10.325" id="M27" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 15.175 10.325" width="15.175" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
</text>
</g>
</g>
</svg>: hydrate; <svg height="10.575" id="M28" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.575)">
<g transform="translate(72,-63.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
</g>
</g>
</svg>: vapor; <svg height="10.325" id="M29" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.75 10.325" width="11.75" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
</g>
</g>
</svg>: pressure [<a href="/journals/jther/2009/120481/#B2">2</a>]. Bold solid lines: <svg height="14.4125" id="M30" style="vertical-align:-3.27548pt" version="1.1" viewbox="0 0 24.299999 14.4125" width="24.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.4125)">
<g transform="translate(72,-60.47)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑊</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.325" id="M31" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 15.175 10.325" width="15.175" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
</text>
</g>
</g>
</svg> equilibrium; solid lines: <svg height="14.4125" id="M32" style="vertical-align:-3.27548pt" version="1.1" viewbox="0 0 24.299999 14.4125" width="24.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.4125)">
<g transform="translate(72,-60.47)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑊</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.575" id="M33" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.575)">
<g transform="translate(72,-63.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
</g>
</g>
</svg> equilibrium; dashed lines: metastable <svg height="14.4125" id="M34" style="vertical-align:-3.27548pt" version="1.1" viewbox="0 0 24.299999 14.4125" width="24.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.4125)">
<g transform="translate(72,-60.47)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑊</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.575" id="M35" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.575)">
<g transform="translate(72,-63.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
</g>
</g>
</svg> equilibrium; bold dashed line: <svg height="14.4125" id="M36" style="vertical-align:-3.27548pt" version="1.1" viewbox="0 0 24.299999 14.4125" width="24.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.4125)">
<g transform="translate(72,-60.47)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑊</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.575" id="M37" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.575)">
<g transform="translate(72,-63.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.325" id="M38" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 15.175 10.325" width="15.175" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
</text>
</g>
</g>
</svg> equilibrium.</table>

Journal of Thermodynamics

fig1

Figure 1

Figure 1: Development of Predictive Techniques for Estimating Liquid Water-Hydrate Equilibrium of Water-Hydrocarbon System 