luetal2010

Function summary

luetal2010(z, t, rc, re[, H, rs, ks, kv, …])

Composite foundation considering radial and vert flows in the column

Module listing

Lu et al (2010) “Composite foundation considering radial and vertical flows within the column and the variation of soil permeability within the disturbed soil zone”.

geotecha.consolidation.luetal2010.luetal2010(z, t, rc, re, H=1, rs=None, ks=None, kv=1.0, kvc=1.0, kh=1.0, khc=1.0, mvs=0.1, mvc=0.1, gamw=10, utop=1, ubot=1, nterms=100)

Composite foundation considering radial and vert flows in the column

An implementation of [1].

Features:

• Single layer, soil properties constant over time.
• Instant load linear with depth.
• Vertical and radial flow in in soil
• Vertical and radial flow in drain/column
• Different stiffness in column and soil
• Pore pressure in soil, column and averaged at depth
• Average pore pressure over whole profile vs time
• Settlement of whole profile vs time

Parameters:

z : float or 1d array/list of float

Depth.

t : float or 1d array/list of float

Time.

rc : float

Drain radius

re : float

Drain influence radius.

H : float, optional

Drainage path length. Default H=1.

rs : float, optional

Drain influence radius. Default rs=None i.e. no smear zone.

ks : float, optional

Smear zone permeability. Default ks=None, i.e. no smear zone.

kv, kvc : float, optional

Vertical coefficient of permeability in soil and column. Default kv= kvc = 1

kh, khc : float, optional

Horizontal coefficient of permeability in soil and column. default kh = khc = 1

mvs, mvc : float, optional

Volume compressibility in soil and column. default mvs=mvc=0.1.

gamw : float, optional

Unit weight of water. Default gamw=10.

utop, ubot : float, optional

Initial pore water pressure at top and bottom of soil. Default utop=ubot=1.

nterms : int, optional

Number of terms to use in solution. Default=100.

Returns:

por, pors, porc : 2d array of float

Pore pressure at depth and time overall, in soil, in column. por is an array of size (len(z), len(t)).

avp : 2d array of float

Average overall pore pressure of whole soil profile.

settle : 2d array of float

Settlement of whole layer.

References

[1]	(1, 2) Lu, Meng-Meng, Kang-He Xie, and Biao Guo. 2010. ‘Consolidation Theory for a Composite Foundation Considering Radial and Vertical Flows within the Column and the Variation of Soil Permeability within the Disturbed Soil Zone’. Canadian Geotechnical Journal 47 (2): 207-17. doi:10.1139/T09-086.