tangandonitsuka2000

Function summary

tangandonitsuka2000(z, t, kv, kh, ks, kw, ...) Consolidation by vertical drains under time-dependent loading

Module listing

Tang and Onitsuka (2000) “Consolidation by vertical drains under time-dependent loading”.

geotecha.consolidation.tangandonitsuka2000.tangandonitsuka2000(z, t, kv, kh, ks, kw, mv, gamw, rw, rs, re, H, drn, surcharge_vs_time=((0, 0, 100.0), (0, 1.0, 1.0)), tpor=None, nterms=20)[source]

Consolidation by vertical drains under time-dependent loading

An implementation of Tang and Onitsuka (2000)[R70]_.

Features:

  • Single layer.
  • Soil and drain properties constant with time.
  • Vertical and radial drainage
  • Well resistance.
  • Load is uniform with depth but piecewise linear with time.
  • Radially averaged pore pressure at depth.
  • Average pore pressure of whole layer vs time.
  • Settlement of whole layer vs time.
Parameters:

z : float or 1d array/list of float

Depth values for output.

t : float or 1d array/list of float

Time for degree of consolidation calcs.

kv, kh, ks, kw: float

Vertical, horizontal, smear zone, and drain permeability.

mv : float

Volume compressibility.

gamw : float

Unit weight of water.

rw, rs, re: float

Drain radius, smear radius, radius of influence.

H : float

Drainage path length.

drn : [0,1]

Drainage boundary condition. drn=0 is pervious top pervious bottom. drn=1 is perviousbottom, impervious bottom.

surcharge_vs_time: 2 element tuple or array/list, optional

(time, magnitude). default = ((0,0,100.0), (0,1.0,1.0)), i.e. instant load of magnitude one.

tpor : float or 1d array/list of float, optional

Time values for pore pressure vs depth calcs. Default tpor=None i.e. time values will be taken from t.

nterms : int, optional

Maximum number of series terms. Default nterms=20
Returns:

por : 2d array of float

Pore pressure at depth and time. ppress is an array of size (len(z), len(t)).

avp : 1d array of float

Average pore pressure of layer

settlement : 1d array of float

surface settlement

References

[R70]Tang, Xiao-Wu, and Katsutada Onitsuka. ‘Consolidation by vertical drains under Time-Dependent Loading’. Int Journal for Numerical and Analytical Methods in Geomechanics 24, no. 9 (2000): 739-51. doi:10.1002/1096-9853(20000810)24:9<739::AID-NAG94>3.0.CO;2-B.