grdgravmag3d - Compute the gravity effect of a grid by the method
of Okabe
grdgravmag3d grdfile_top [grdfile_bot] [
-Cdensity ] [ -Ethick ] [
-Fxy_file ] [ -Goutgrid ] [
-H<...> ] [ -Iincrement ] [
-Lz_obs ] [
-Q[nn_pad]|[pad_dist]|[<w/e/s/n>] ] [
-Rregion ] [ -Sradius ] [
-V[level] ] [ -Zlevel[b|t] ] [
-fg ] [ -x+a|n|-n ]
Note: No space is allowed between the option flag and the
associated arguments.
grdgravmag3d will compute the gravity anomaly of a body
described by one or (optionally) two grids The output can either be along a
given set of xy locations or on a grid. This method is not particularly fast
but allows computing the anomaly of arbitrarily complex shapes.
- grdfile_top
[grdfile_bot]
- Grid file whose gravity effect is going to be computed. If two grids are
provided then the gravity/magnetic effect of the volume between them is
computed.
- -Cdensity
- Sets body density in SI. This option is mutually exclusive with
-H
- -Fxy_file
- Provide locations where the anomaly will be computed. Note this option is
mutually exclusive with -G.
- -Goutgrid
- Output the gravity anomaly at nodes of this grid file.
- -Ethickness
- To provide the layer thickness in m [Default = 500 m].
- -Hf_dec/f_dip/m_int/m_dec/m_dip
-H+m<magfile> -Hx|y|z|h|t
-H+i|+g|+r|+f|+n
- Sets parameters for computation of magnetic anomaly (Can be used multiple
times).
f_dec/f_dip -> geomagnetic declination/inclination
m_int/m_dec/m_dip -> body magnetic
intensity/declination/inclination
OR for a grid mode
+m<magfile> where 'magfile' is the name of the
magnetic intensity file.
To compute a component, specify any of:
x|X|e|E to compute the E-W component.
y|Y|n|N to compute the N-S component.
z|Z to compute the Vertical component.
h|H to compute the Horizontal component.
t|T|f|F to compute the total field.
For a variable inclination and declination use IGRF. Set any of
-H+i|+g|+r|+f|+n to do that
- -Ixinc[unit][+e|n][/yinc[unit][+e|n]]
- x_inc [and optionally y_inc] is the grid spacing.
Optionally, append a suffix modifier. Geographical (degrees)
coordinates: Append m to indicate arc minutes or s to
indicate arc seconds. If one of the units e, f, k,
M, n or u is appended instead, the increment is
assumed to be given in meter, foot, km, Mile, nautical mile or US survey
foot, respectively, and will be converted to the equivalent degrees
longitude at the middle latitude of the region (the conversion depends on
PROJ_ELLIPSOID). If y_inc is given but set to 0 it will be reset
equal to x_inc; otherwise it will be converted to degrees latitude.
All coordinates: If +e is appended then the corresponding
max x (east) or y (north) may be slightly
adjusted to fit exactly the given increment [by default the increment may
be adjusted slightly to fit the given domain]. Finally, instead of giving
an increment you may specify the number of nodes desired by
appending +n to the supplied integer argument; the increment is
then recalculated from the number of nodes and the domain. The resulting
increment value depends on whether you have selected a gridline-registered
or pixel-registered grid; see App-file-formats for details. Note: if
-Rgrdfile is used then the grid spacing has already been
initialized; use -I to override the values.
- -Lz_obs
- Sets level of observation [Default = 0]. That is the height (z) at which
anomalies are computed.
- -Sradius
- Set search radius in km (valid only in the two grids mode OR when
-E) [Default = 30 km]. This option serves to speed up the
computation by not computing the effect of prisms that are further away
than radius from the current node.
- -Zlevel[b|t]
- level of reference plane [Default = 0]. Use this option when the triangles
describe a non-closed surface and the volume is defined from each triangle
and this reference level. An example will be the water depth to compute a
Bouguer anomaly. Use -Zb or Zt to close the body at its
bottom (for example, to compute the effect of a dome) or at its top (to
compute the effect of a spoon).
- -fg
- Geographic grids (dimensions of longitude, latitude) will be converted to
meters via a "Flat Earth" approximation using the current
ellipsoid parameters.
- -x+a|n|-n
- Choose the number of processors used in multi-threading (Only available
with multi-threading builds).
+a Use all available processors.
n Use n processors (not more than max available off
course).
-n Use (all - n) processors.
- -^ or just -
- Print a short message about the syntax of the command, then exits (NOTE:
on Windows just use -).
- -+ or just +
- Print an extensive usage (help) message, including the explanation of any
module-specific option (but not the GMT common options), then exits.
- -? or no arguments
- Print a complete usage (help) message, including the explanation of all
options, then exits.
If the grid does not have meter as the horizontal unit, append
+uunit to the input file name to convert from the specified
unit to meter. If your grid is geographic, convert distances to meters by
supplying -fg instead.
Suppose you want to compute the gravity effect of the phantom
"Sandy Island" together with its not phantom seamount
gmt grdgravmag3d sandy_bat.grd -C1700 -Z-4300 -fg -I1m -Gsandy_okb.grd -V
To compute the vertical component due to a magnetization stored in
mag.grd over a zone defined by the surface bat.grd, using
variable declination and inclination provided the the IGRF and using 4
processors, do:
gmt grdgravmag3d bat.grd -E10000 -Gcomp_Z.grd -Hz -H+n -H+mmag.grd -x4 -V -S50
gmt, gmtgravmag3d, talwani2d, talwani3d
Okabe, M., Analytical expressions for gravity anomalies due to
polyhedral bodies and translation into magnetic anomalies,
Geophysics, 44, (1979), p 730-741.
2019, P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis, and F.
Wobbe