satn_profile

Computes the saturation profiles in an invasion image

import matplotlib.pyplot as plt
import numpy as np
import porespy as ps

[03:07:24] ERROR    PARDISO solver not installed, run `pip install pypardiso`. Otherwise,          _workspace.py:56
                    simulations will be slow. Apple M chips not supported.

The arguments and their defaults for this function are:

import inspect
inspect.signature(ps.metrics.satn_profile)

<Signature (satn, s=None, im=None, axis=0, span=10, mode='tile')>

Start by performing a basic invasion simulation:

np.random.seed(1)
im = ps.generators.blobs(shape=[150, 150], porosity=0.6, blobiness=1)
inlets = np.zeros_like(im)
inlets[0, :] = True
inv = ps.simulations.drainage(im=im, inlets=inlets, voxel_size=1, g=0)

fig, ax = plt.subplots(1, 2, figsize=[12, 6])
ax[0].imshow(inv.im_satn/im, interpolation='none', origin='lower')
ax[0].axis(False)
ax[0].set_title('Saturation map')
ax[1].imshow((inv.im_satn < 0.6)*(inv.im_satn > 0)/im, interpolation='none', origin='lower')
ax[1].axis(False)
ax[1].set_title('Fluid distribution at saturation = 0.6');
../../../_images/977e1e004951be2bfd9ddf4281fb32ca26d0c1da0aabe2deadc36c50aedc09e0.png

satn

This is the output of the invasion function, converted to saturation if needed:

s = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6)
plt.plot(s.position, s.saturation, 'b-o')
plt.xlabel("distance from injection face")
plt.ylabel("non-wetting phase saturation");
../../../_images/219de5acb34ed9814b1e5446d31d4f3ccbbf2cd602c1d53113a2e26ded221517.png

s

The global saturation for which the profile should be obtained:

s = 0.6
s1 = ps.metrics.satn_profile(satn=inv.im_satn, s=s)
plt.plot(s1.position, s1.saturation, 'b-o')

s = 0.4
s2 = ps.metrics.satn_profile(satn=inv.im_satn, s=s)
plt.plot(s2.position, s2.saturation, 'r-o')

s = 0.1
s3 = ps.metrics.satn_profile(satn=inv.im_satn, s=s)
plt.plot(s3.position, s3.saturation, 'g-o')

plt.xlabel("distance from injection face")
plt.ylabel("non-wetting phase saturation");
../../../_images/61fa65875d7cf60aa4a7b10c12f7672644619da1a850dd3e29391bced94688dc.png

span

The width of the slice over which the saturation is computed. The default is 10 voxels. A higher number makes the curve smoother, but risks losing features like dips and spikes:

s = 5
s1 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, span=s)
plt.plot(s1.position, s1.saturation, 'b-o')

s = 10
s2 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, span=s)
plt.plot(s2.position, s2.saturation, 'r-o')

s = 30
s3 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, span=s)
plt.plot(s3.position, s3.saturation, 'g-o')

plt.xlabel("distance from injection face")
plt.ylabel("non-wetting phase saturation");
../../../_images/896cc535b1e4dc6ec66eda5665b68ea873ddee24eaa39289938e4ea57b7990df.png

mode

How the averaging window moves, either by sliding or by tiling.

s1 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, mode='slide')
plt.plot(s1.position, s1.saturation, 'b-o')

s = 10
s2 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, mode='tile')
plt.plot(s2.position, s2.saturation, 'r-o')

plt.xlabel("distance from injection face")
plt.ylabel("non-wetting phase saturation");
../../../_images/35589d70c8e10acaa03947944e9a888378cd5bc55de0b0d1b5f4716495e7558a.png

axis

The direction along with the averaging window moves. This can be perpendicular to the axis where the injection occurred to give additional insights into the saturation distribution:

s1 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, axis=0)
plt.plot(s1.position, s1.saturation, 'b-o')

s = 10
s2 = ps.metrics.satn_profile(satn=inv.im_satn, s=0.6, axis=1)
plt.plot(s2.position, s2.saturation, 'r-o')

plt.xlabel("distance from injection face")
plt.ylabel("non-wetting phase saturation");
../../../_images/de5989af94dfccc56e4b0ef935f91654f673755c8dd2b3dd0e7400db307addb1.png