Water compressibility volume

I am trying to figure if there is a calculation for working out how much water I would have to pump into a system to increase the pressure.

For example, I have a pipeline which is 2" and 6.5 km long. I worked the volume out using πr² × height so π×0.0254m²×6500m which is 13.17m³.

How do I now determine how much more water I require to increase the pressure to 10 barg?

I know the material of the pipeline matters but I am just looking for a ballpark not exact accuracy. I also know that temperature matters but for this case lets say the temperature remains constant again this is because I require a ballpark figure.

It is for a hydro test (pressure test) of the pipe. we are taking it up to 150% of its design pressure which is 414 barg so 621barg

mfb
Mentor
There are tables giving the density of water at different pressures. The difference between the two pressures allows to figure out how much water has to be added at constant volume. If your pipeline expands under pressure, this could be the dominant effect, then you have to know how much it expands.

There are tables giving the density of water at different pressures. The difference between the two pressures allows to figure out how much water has to be added at constant volume. If your pipeline expands under pressure, this could be the dominant effect, then you have to know how much it expands.

Do you know where can i Find these tables?

mfb
Mentor
Google "water density table", "water density table pressure" or related things?

Chestermiller
Mentor
Another approach is to use the bulk compressibility of water, which is on the order of 5 x 10-4/MPa.

Chet