
Publication History:
This article is based on
"Crain's Dipmeter Omnibus" by E. R. (Ross) Crain, P.Eng., first
published in 2003, and updated annually until 2016.Last update Jul
2017.
This
webpage version is the copyrighted intellectual
property of the author.
Do not copy or distribute in any form without explicit
permission. 
Dip Subtraction and Rotation
Dip subtraction, also called dip rotation, is used to translate
actual dip to dip with regional dip removed. The result is used to
assess the actual angles of crossbedding or fault planes relative to
horizontal strata. If you do not have a dip removed arrow plot, you
may have to perform this calculation on a few dips to find
depositional dip patterns. The equations are:
1: NEWDIP = Arccos(Cos SD * Cos
DIP + Sin SD * Sin DIP * Cos(AZM  SDAZ))
2: ANGLS = Arccos((Cos DIP  Cos
SD * Cos NEWDIP) / (Sin SD * Sin NEWDIP))
3: IF Sin (AZM  SDAZ) >= 0
4: THEN NEWAZM = SDAZ + 180 
ANGLS
5: Otherwise NEWAZM = SDAZ  180
+ ANGLS
6: NEWAZM = 360 * Frac((NEWAZM +
360) / 360)
In a July 2017 email, Charles Berg at ResDip pointed out
that NEWDIP could exceed 90 degrees and that we usually do
not report dips this way. An additional step provided by
Charles corrects this problem:
7: IF NEWDIP > 90
8: THEN NEWDIP = 180  NEWDIP
9: AND NEWAZM = 180 + NEWAZM
Where:
ANGLS = intermediate term
AZM = true dip azimuth before structural dip removal
DIP = true dip angle before structural dip removal
NEWDIP = dip after structural dip removal
NEWAZM = azimuth after structural dip removal
SD = structural (regional) dip to remove
SDAZ = azimuth of structural dip
It
is sometimes necessary or desirable to project the actual dip
onto a new azimuth. This "apparent dip" calculation is used to
prepare dips for presentation on a stick diagram at arbitrary
cross section orientations, such as the line of section between
two wells, or along the section of a seismic line. The equation
is:
10: PROJDIP = Arctan (Tan DIP *
Cos (PROJAZM  AZM))
Where:
AZM = true dip azimuth before rotation
DIP = true dip angle before rotation
PROJDIP = projected dip
PROJAZM = projected azimuth
"META/DIP"
SPREADSHEETSpreadsheet for Dip Subtraction
This
spreadsheet provides a tool for Dip Subtraction (Regional Dip
Removal) and Dip (Apparent Dip in any arbitrary azimuth). Dip
azimuth is trimmed to within a 360 degree compass.
Dip
Subtraction / Rotation, includes apparent dip in any arbitrary
azimuth.
Example from "META/DIP"
spreadsheet for dip subtraction or rotation.
