dengetal2013and2014

Function summary

dengetal2013(z, t, rw, re[, A1, A2, A3, H, …]) Radial consolidation with depth and time dependent well resistance
dengetal2014(z, t, rw, re[, A3, H, rs, ks, …]) Radial consolidation with time dependent well resistance

Module listing

Deng et al (2013) and (2014), “Consolidation by vertical drains when the discharge capacity varies with depth and time”.

geotecha.consolidation.dengetal2013and2014.dengetal2013(z, t, rw, re, A1=1, A2=0, A3=0, H=1, rs=None, ks=None, kw0=10000000000.0, kh=1, mv=0.1, gamw=10, ui=1)[source]

Radial consolidation with depth and time dependent well resistance

Implementation of [1].

Features:

  • Radial flow to drain (no vertical flow in soil)
  • Vertical flow in drain.
  • Linear depth variation of drain permeability in time.
  • Exponential decrease in drain peremability with time.
  • Uses approximate (like Hansbo) method to solve pore pressure in drain.
  • Radially averaged pore pressure at depth and time in soil.

Drain pereability is kw = kw0 * (A1 - A2 * z / H) * exp(-A3 * t)

Parameters:
z : float or 1d array/list of float

Depth.

t : float or 1d array/list of float

Time.

rw : float

Drain radius.

re : float

Drain influence radius.

A1 : float, optional

Parameter controlling depth dependance of well resistance. Default A1=1.

A2 : float, optional

Parameter controlling depth dependance of well resistance. Default A2=0.

A3 : float, optional

Parameter controlling time dependance of well resistance. Default A3=0.

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.

kw0 : float, optional

Initial well permeability. Default kw0=1e10 i.e. ideal drain.

kh : float, optional

Horizontal coefficient of permeability. Default kh=1.

mv : float, optional

Volume compressibility. Default mv=0.1.

gamw : float, optional

Unit weight of water. Default gamw=10.

ui : float, optional

Initial uniform pore water pressure. Default ui=1.

Returns:
por : 2d array of float

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

References

[1](1, 2) Deng, Yue-Bao, Kang-He Xie, and Meng-Meng Lu. 2013. ‘Consolidation by Vertical Drains When the Discharge Capacity Varies with Depth and Time’. Computers and Geotechnics 48 (March): 1-8. doi:10.1016/j.compgeo.2012.09.012.
geotecha.consolidation.dengetal2013and2014.dengetal2014(z, t, rw, re, A3=0, H=1, rs=None, ks=None, kw0=10000000000.0, kh=1, mv=0.1, gamw=10, ui=1, nterms=100)[source]

Radial consolidation with time dependent well resistance

An implementation of [1]

Features:

  • Single layer, soil properties constant over time.
  • Instant load uniform with depth.
  • Radial flow to drain (no vertical flow in soil)
  • Vertical flow in drain.
  • Exponential decrease in drain peremability with time.
  • Uses rigorous (infintite sum ) method to solve pore pressure in drain.
  • Radially averaged pore pressure at depth and time in soil.

Drain permeability is kw = kw0 * exp(-A3 * t)

Parameters:
z : float or 1d array/list of float

Depth.

t : float or 1d array/list of float

Time.

rw : float

Drain radius.

re : float

Drain influence radius.

A3 : float, optional

Parameter controlling time dependance of well resistance. Default A3=0.

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.

kw0 : float, optional

Initial well permeability. Default kw0=1e10 i.e. ideal drain.

kh : float, optional

Horizontal coefficient of permeability. Default kh=1.

mv : float, optional

Volume compressibility. Default mv=0.1.

gamw : float, optional

Unit weight of water. Default gamw=10.

ui : float, optional

Initial uniform pore water pressure. Default ui=1.

nterms : int, optional

number of summation terms, default = 100.

Returns:
por : 2d array of float

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

References

[1](1, 2) Deng, Yue-Bao, Gan-Bin Liu, Meng-Meng Lu, and Kang-he Xie. ‘Consolidation Behavior of Soft Deposits Considering the Variation of Prefabricated Vertical Drain Discharge Capacity’. Computers and Geotechnics 62 (October 2014): 310-16. doi:10.1016/j.compgeo.2014.08.006.