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PROGRAM:

NAME

grdredpol - Compute the Continuous Reduction To the Pole, AKA differential RTP.

SYNOPSIS

grdredpol anom_grd rtp_grd [dec/dip] [ dec_grd/dipgrd] [ <m/n>] [ m|r] [ ] [ win_width] [
[level] ] [ year ] [ filtergrd ] [ [level] ] [ -n<flags> ]

Note: No space is allowed between the option flag and the associated arguments.

DESCRIPTION

grdredpol will take a .nc file with a magnetic anomaly and compute the reduction to the
pole (RTP) anomaly. This anomaly is the one that would have been produce if the bodies
were magnetized vertically and the anomalies were observed at the geomagnetic pole.
Standard RTP procedure assumes the direction of magnetization to be uniform throughout the
causative body, and the geomagnetic field to be uniform in direction throughout the study
region. Although these assumptions are reasonable for small areas, they do not hold for
large areas.

In the method used here computations are carried out in both the frequency and the space
domains. The idea is that a large area may be decomposed in small size windows where both
the ambient field and the magnetization vector change by a very small amount. Inside each
of those windows, or bins, a set of filter coefficients are calculate and reconstruct for
each individual point the component filter using a first order Taylor series expansion.

REQUIRED ARGUMENTS

anom_grd
The anomaly grid to be converted.

-Grtp_grd
is the filename for output grdfile with the RTP solution

OPTIONAL ARGUMENTS

-Cdec/dip
Use this (constant) declination and inclination angles for both field and
magnetization. This option consists in the classical RTP procedure.

-Edip_grd/dec_grd
Get magnetization DIP & DEC from these grids [default: use IGRF]. Note that these
two grids do not need to have the same resolution as the anomaly grid. They can be
coarser.

-Fm/n The filter window size in terms of row/columns. The default value is 25x25.

-Mm|r Set boundary conditions. m|r stands for mirror or replicate edges (Default is zero
padding).

-N Do NOT use Taylor expansion.

-Rwest/east/south/north
defines the Region of the output points. [Default: Same as input.]

-Tyear Decimal year used by the IGRF routine to compute the declination and inclination at
each point [default: 2000]

-Wwidth
The size of the moving window in degrees [5].

-Zfilter_grd
Write the filter file to disk.

-V[level] (more ...)
Select verbosity level [c].

-n[b|c|l|n][+a][+bBC][+c][+tthreshold] (more ...)
Select interpolation mode for grids.

CONSEQUENCES OF GRID RESAMPLING

Resample or sampling of grids will use various algorithms (see -n) that may lead to
possible distortions or unexpected results in the resampled values. One expected effect
of resampling with splines is the tendency for the new resampled values to slightly exceed
the global min/max limits of the original grid. If this is unacceptable, you can impose
clipping of the resampled values values so they do not exceed the input min/max values by
adding +c to your -n option.

EXAMPLES

Suppose that anom.grd is a file with the magnetic anomaly reduced to the 2010 epoch and
that the dec.grd and dip.grd contain the magnetization declination and inclination
respectively for an area that encloses that of the anom.grd, compute the RTP using bins of
2 degrees and a filter of 45 coefficients.

gmt grdredpol anom.grd -Grtp.grd -W2 -F45/45 -T2010 -Edec.grd/dip.grd -V

To compute the same RTP but now with the field and magnetization vectors collinear and
computed from IGRF :

gmt grdredpol anom.grd -Grtp.grd -W2 -F45/45 -T2010 -V

REFERENCE

Luis, J.L. and Miranda, J.M. (2008), Reevaluation of magnetic chrons in the North Atlantic
between 35N and 47N: Implications for the formation of the Azores Triple Junction and
associated plateau. JGR, VOL. 113, B10105, doi:10.1029/2007JB005573

COPYRIGHT

2015, P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis, and F. Wobbe

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