Geological borehole deviation coordinates calculator

Calculate station coordinates [depth,east,north,vertical down] with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use station coordinates [depth,east,north,vertical down] to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Survey stations [measured depth m,inclination from vertical degrees,azimuth degrees]
[[0,0,0],[100,10,30],[200,20,40]]
Station coordinates [depth,east,north,vertical down]
[[0,0,0,0],[100,4.3522581686,7.53833227568,99.4930770045],[200,19.727153456,28.2132887481,195.977745242]]

Try another scenario

Survey stations [measured depth m,inclination from vertical degrees,azimuth degrees]
[[0,0,0],[100,15,30],[200,25,40]]
Station coordinates [depth,east,north,vertical down]
[[0,0,0,0],[100,6.50768781344,11.2716459327,98.8615929465],[200,26.6175329438,38.743487666,192.737865243]]
Calculation method

Calculation method

Station coordinates [depth,east,north,vertical down]

Minimum curvature between ordered stations; dogleg ratio factor 2tan(beta/2)/beta, limit1 at beta0.

Symbols and units
a
Survey stations [measured depth m,inclination from vertical degrees,azimuth degrees]

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Depth increments, inclination-azimuth readings, method. Returns Approximate downhole coordinates. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification.
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