I am trying to find out a method of determining the area below a curve.(adsbygoogle = window.adsbygoogle || []).push({});

The end points of the curve are known in cartesian space, and the curvature of the curve is known.

A diagram of the curve is here, shown in the images belowthis webpage

ß must be in radians

Where;

MD = Measured Depth between surveys in ft

I1 = Inclination (angle) of upper survey in degrees

I2 = Inclination (angle) of lower in degrees

Az1= Azimuth direction of upper survey

Az2 = Azimuth direction of lower survey

RF = Ratio Factor

ß is the dog leg angle.

I'm trying to find the area between the curve and a line projected downwards onto the bottom plane.

I have a wellbore trajectory which gives x,y,z, coordinates (northing,easting,vertical depth)and the angle DL, and I am trying to find the net area above and below a certain depth plane by using the wells directional survey.

Any suggestions would be appreciated, thanks!

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# Area Under a Curve, 3D, with known end points and curve radius

Can you offer guidance or do you also need help?

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