Wellbore deviation surveys - Minimum Curvature method

Minimum Curvature

When a wellbore is created from a deviation survey, JewelSuite 2026.1 Subsurface Modeling uses the industry-standard Minimum Curvature algorithm to derive a position log from the deviation survey.

3D visualization of the minimum curvature issue    click to enlarge

2D visualization of the minimum curvature issue. α = β / 2. In green the known data, in blue what is computed in the forward calculation, in red what is computed in the inverse calculation    click to enlarge

 

Given:

  • Northing, Easting, (True Vertical) Depth, Azimuth and Inclination of Point 1
  • Azimuth and Inclination of Point 2
  • Path length or MD between Point 1 and Point 2

Calculation of Northing, Easting and (True Vertical) Depth of Point 2 according to:

where:

I = Inclination

A = Azimuth

E = Easting

N = Northing

TVD = (True Vertical) Depth

MD = Measured Depth

Inverse Minimum Curvature

When a wellbore is created from a position log, JewelSuite Subsurface Modeling uses the inverse Minimum Curvature algorithm to derive a deviation survey from the position log.

Given:

  • Northing, Easting, (True Vertical) Depth, Azimuth and Inclination of Point 1
  • Northing, Easting and (True Vertical) Depth of Point 2

Calculation of Azimuth and Inclination of Point 2 and the arc length or MD between the Point 1 and Point 2 according to:

where:

I = Inclination

A = Azimuth

E = Easting

N = Northing

TVD = (True Vertical) Depth

MD = Measured Depth