Source code for imod.prepare.voxelize

import numba
import numpy as np
import xarray as xr

from imod.prepare import common

# Voxelize does not support conductance method, nearest, or linear
METHODS = common.METHODS.copy()

def _voxelize(src, dst, src_top, src_bot, dst_z, method):
    nlayer, nrow, ncol = src.shape
    nz = dst_z.size - 1
    values = np.zeros(nlayer)
    weights = np.zeros(nlayer)

    for i in range(nrow):
        for j in range(ncol):
            tops = src_top[:, i, j]
            bots = src_bot[:, i, j]

            # ii is index of dst
            for ii in range(nz):
                z0 = dst_z[ii]
                z1 = dst_z[ii + 1]
                if np.isnan(z0) or np.isnan(z1):

                zb = min(z0, z1)
                zt = max(z0, z1)
                count = 0
                has_value = False
                # jj is index of src
                for jj in range(nlayer):
                    top = tops[jj]
                    bot = bots[jj]

                    overlap = common._overlap((bot, top), (zb, zt))
                    if overlap == 0:

                    has_value = True
                    values[count] = src[jj, i, j]
                    weights[count] = overlap
                    count += 1
                    if has_value:
                        dst[ii, i, j] = method(values, weights)
                        # Reset
                        values[:count] = 0
                        weights[:count] = 0

    return dst

def _coord(da, dim):
    delta_dim = "d" + dim  # e.g. dx, dy, dz, etc.

    if delta_dim in da.coords:  # equidistant or non-equidistant
        dx = da[delta_dim].values
        if dx.shape == () or dx.shape == (1,):  # scalar -> equidistant
            dxs = np.full(da[dim].size, dx)
        else:  # array -> non-equidistant
            dxs = dx
        _check_monotonic(dxs, dim)

    else:  # undefined -> equidistant
        dxs = np.diff(da[dim].values)
        dx = dxs[0]
        atolx = abs(1.0e-6 * dx)
        if not np.allclose(dxs, dx, atolx):
            raise ValueError(
                f"DataArray has to be equidistant along {dim}, or cellsizes"
                " must be provided as a coordinate."
        dxs = np.full(da[dim].size, dx)

    # Check if the sign of dxs is correct for the coordinate values of x
    x = da[dim]
    dxs = np.abs(dxs)
    if x.size > 1:
        if x[1] < x[0]:
            dxs = -1.0 * dxs

    # Note: this works for both positive dx (increasing x) and negative dx
    x0 = x[0] - 0.5 * dxs[0]
    x = np.full(dxs.size + 1, x0)
    x[1:] += np.cumsum(dxs)
    return x

[docs]class Voxelizer: """ Object to repeatedly voxelize similar objects. Compiles once on first call, can then be repeatedly called without JIT compilation overhead. Attributes ---------- method : str, function The method to use for regridding. Default available methods are: ``{"mean", "harmonic_mean", "geometric_mean", "sum", "minimum", "maximum", "mode", "median", "max_overlap"}`` Examples -------- Usage is similar to the regridding. Initialize the Voxelizer object: >>> mean_voxelizer = imod.prepare.Voxelizer(method="mean") Then call the ``voxelize`` method to transform a layered dataset into a voxel based one. The vertical coordinates of the layers must be provided by ``top`` and ``bottom``. >>> mean_voxelizer.voxelize(source, top, bottom, like) If your data is already voxel based, i.e. the layers have tops and bottoms that do not differ with x or y, you should use a ``Regridder`` instead. It's possible to provide your own methods to the ``Regridder``, provided that numba can compile them. They need to take the arguments ``values`` and ``weights``. Make sure they deal with ``nan`` values gracefully! >>> def p30(values, weights): >>> return np.nanpercentile(values, 30) >>> p30_voxelizer = imod.prepare.Voxelizer(method=p30) >>> p30_result = p30_voxelizer.regrid(source, top, bottom, like) The Numba developers maintain a list of support Numpy features here: In general, however, the provided methods should be adequate for your voxelizing needs. """ def __init__(self, method, use_relative_weights=False): _method = common._get_method(method, METHODS) self.method = _method self._first_call = True def _make_voxelize(self): """ Use closure to avoid numba overhead """ jit_method = numba.njit(self.method) @numba.njit def voxelize(src, dst, src_top, src_bot, dst_z): return _voxelize(src, dst, src_top, src_bot, dst_z, jit_method) self._voxelize = voxelize
[docs] def voxelize(self, source, top, bottom, like): """ Parameters ---------- source : xr.DataArray The values of the layered model. top : xr.DataArray The vertical location of the layer tops. bottom : xr.DataArray The vertical location of the layer bottoms. like : xr.DataArray An example DataArray providing the coordinates of the voxelized results; what it should look like in terms of dimensions, data type, and coordinates. Returns ------- voxelized : xr.DataArray """ def dim_format(dims): return ", ".join(dim for dim in dims) # Checks on inputs if not "z" in like.dims: # might be a coordinate if "layer" in like.dims: if not like.coords["z"].dims == ("layer",): raise ValueError('"z" has to be given in ``like`` coordinates') if "dz" not in like.coords: dzs = np.diff(like.coords["z"].values) dz = dzs[0] if not np.allclose(dzs, dz): raise ValueError( '"dz" has to be given as a coordinate in case of' ' non-equidistant "z" coordinate.' ) like["dz"] = dz for da in [top, bottom, source]: if not da.dims == ("layer", "y", "x"): raise ValueError( "Dimensions for top, bottom, and source have to be exactly" f' ("layer", "y", "x"). Got instead {dim_format(da.dims)}.' ) for da in [bottom, source]: for (k1, v1), (_, v2) in zip(top.coords.items(), da.coords.items()): if not v1.equals(v2): raise ValueError(f"Input coordinates do not match along {k1}") if self._first_call: self._make_voxelize() self._first_call = False like_z = like["z"] if not like_z.indexes["z"].is_monotonic_increasing: like_z = like_z.isel(z=slice(None, None, -1)) dst_z = common._coord(like_z, "z")[::-1] else: dst_z = common._coord(like_z, "z") dst_nlayer = like["z"].size _, nrow, ncol = source.shape dst_coords = { "z": like.coords["z"], "y": source.coords["y"], "x": source.coords["x"], } dst_dims = ("z", "y", "x") dst_shape = (dst_nlayer, nrow, ncol) dst = xr.DataArray(np.full(dst_shape, np.nan), dst_coords, dst_dims) dst.values = self._voxelize( source.values, dst.values, top.values, bottom.values, dst_z ) return dst