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	tcalculate consolidation coefficient and show it in plot - sphere - GPU-based 3…
	git clone git://src.adamsgaard.dk/sphere
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	---
	commit aba33eb02abf7b0213f694c21402793291b459a8
	parent 2430f893ee91d85550ecd4e2d9897d37143aa980
	Author: Anders Damsgaard <[email protected]>
	Date: Thu, 14 Aug 2014 14:53:49 +0200

	calculate consolidation coefficient and show it in plot

	Diffstat:
	M python/sphere.py \| 39 +++++++++++++++++++++++++----…

	1 file changed, 32 insertions(+), 7 deletions(-)
	---
	diff --git a/python/sphere.py b/python/sphere.py
	t@@ -4153,25 +4153,50 @@ class sim:
	Plot the load curve (log time vs. upper wall movement). The plot is
	saved in the current folder with the file name
	'<simulation id>-loadcurve.<graphics_format>'.
	+ The consolidation coefficient calculations are done on the base of
	+ Bowles 1992, p. 129--139. It is assumed that the consolidation has
	+ stopped at the end of the simulation (i.e. flat curve).
	'''
	t = numpy.empty(self.status())
	- dh = numpy.empty_like(t)
	+ dH = numpy.empty_like(t)
	+ H = numpy.empty_like(t)
	sim = sphere.sim(self.sid, fluid=self.fluid)
	sim.readfirst(i)
	h = sim.w_x[0]
	for i in numpy.arange(1, self.status()):
	sim.readstep(i)
	t[i-1] = sim.time_current[0]
	- dh[i-1] = h - sim.w_x[0]
	-
	- # save consolidation variables
	- self.D0 = h
	- self.D100 = h - dh[-1]
	- self.D50 = (self.D0 + self.D100)/2.0
	+ H[i-1] = sim.w_x[0]
	+ dH[i-1] = h - sim.w_x[0]
	+
	+ # find consolidation parameters
	+ self.H0 = H[0]
	+ #self.H100 = h - dh[-1]
	+ self.H100 = H[-1]
	+ self.H50 = (self.H0 + self.H100)/2.0
	+ T50 = 0.197 # case I

	+ # find the time where 50% of the consolidation (H50) has happened by
	+ # linear interpolation. The values in dh are expected to be
	+ # monotonically decreasing! See Numerical Recipies p. 115
	+ i_lower = 0
	+ i_upper = self.status()-1
	+ while (i_upper - i_lower > 1):
	+ i_midpoint = int((i_upper + i_lower)/2)
	+ if (self.H50 > H[i_midpoint]):
	+ i_lower = i_midpoint
	+ else:
	+ i_upper = i_midpoint
	+ self.t50 = t[i_lower] + (t[i_upper] - t[i_lower]) * \
	+ (self.H50 - H[i_lower])/(H[i_upper] - H[i_lower])
	+
	+ self.c_v = T50self.H50*2.0/(self.t50)
	+
	fig = plt.figure()
	plt.xlabel('Time [s]')
	plt.ylabel('Consolidation [m]')
	+ plt.title('Consolidation coefficient $c_v$ = %.4e m^2/s at %f kPa' \
	+ % (self.c_v, self.w_devs[0]/1000.0))
	plt.semilogx(t, dh, '+-')
	plt.axhline(y = self.D0)
	plt.axhline(y = self.D50)