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BAKER HUGHES - Drilling Fluids Reference Manual

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Hydraulics<br />

The theoretical change in filtrate, due to reduction of the viscosity of the filtrate as temperature is<br />

increased, can be expressed by the following equation:<br />

where,<br />

f 1 = f μ<br />

× ---------<br />

μ 1<br />

f = filtrate at a known temperature<br />

f l = filtrate at an elevated temperature<br />

μ = viscosity of water at known temperature<br />

μ 1 = viscosity of water at an elevated temperature<br />

The change in viscosity for water at various temperatures is noted in Table 1-2.<br />

Table 1-2 Viscosity of Water vs. Temperature<br />

Temperature Viscosity of Water<br />

(Centipoise)<br />

Temperature Viscosity of Water<br />

(Centipoise)<br />

°C °F °C °F<br />

0 32 1.792 40 104 0.656<br />

10 50 1.308 60 140 0.469<br />

20 68 1.005 80 176 0.356<br />

30 86 0.801 100 212 0.284<br />

(Data from Rogers, W. F.; Composition and Properties of Oil Well <strong>Drilling</strong> <strong>Fluids</strong>, Third Edition)<br />

For example, a fluid has a known filtrate of 6.0 mL at 86°F and 100 psi. It is desired to predict the<br />

resultant filtrate at 140°F with pressure constant.<br />

f 1<br />

f ---------<br />

μ 0.801<br />

= × = 6.0 × ----------------- = 6.0 ×<br />

.895 --------- = 7.8<br />

.469 .685<br />

μ1<br />

Temperature changes of water-base fluid in the 80° to 140°F range will result in change of filtrate of<br />

approximately 10% for each 17°F change. Filtrate increases as temperature increases.<br />

Viscosity<br />

The viscosity of the fluid phase of the drilling fluid, which is the same as the viscosity of the filtrate,<br />

has a direct influence upon the filtration rate. The viscosity of filtrate, which is directly affected by<br />

temperature has been previously described. As the filtrate viscosity decreases, the filtration rate and<br />

total volume of filtrate measured increases.<br />

Filtrate viscosity is also affected by water soluble materials, particularly polymers. When polymers<br />

are added to the mud system, the viscosity of the fluid phase as well as the whole mud is increased,<br />

thereby reducing the filtration rate. The equations presented above may be used to predict the effects<br />

of water soluble polymers on the filtration rate. One must know, or have measured, the effects of<br />

polymer additions on the viscosity of the filtrate in order to make such predictions.<br />

<strong>Reference</strong> <strong>Manual</strong><br />

Baker Hughes <strong>Drilling</strong> <strong>Fluids</strong><br />

1-24 Revised 2006

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