cosenzaandkorosak2014¶
Function summary¶
cosenzaandkorosak2014(z, t, theta, v[, …]) |
Secondary consolidation of Clay as an anomalous diffusion process |
plot_one_dim_consol(z, t[, por, doc, …]) |
Rough plotting routine |
Module listing¶
Cosenza and Korosak (2014) “Secondary Consolidation of Clay as an Anomalous Diffusion Process”.
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geotecha.consolidation.cosenzaandkorosak2014.cosenzaandkorosak2014(z, t, theta, v, tpor=None, L=1, kv=1, mv=0.1, gamw=10, ui=1, nterms=100)[source]¶ Secondary consolidation of Clay as an anomalous diffusion process
An implementation of [1].
Features:
- Single layer, soil properties constant over time.
- Instant load uniform with depth.
- Vertical flow.
- Similar to Terzaghi 1d consolidation equation but with additional fractional time derivative that retards pore pressure dissipation as a possible creep mechanism.
- Uses Laplace transform in solution.
Parameters: - z : float or 1d array/list of float
Depth.
- t : float or 1d array/list of float
Time.
- theta : float or array/list of float
Parameter in [1].
- v : float or array/list of float
Parameter in [1].
- tpor : float or 1d array/list of float
Time values for pore pressure vs depth calcs.
- L : float, optional
Drainage path length. Default H = 1.
- kv : float, optional
Vertical coefficient of permeability. Default kv = 1.
- mv : float, optional
Volume compressibility. Default mv = 0.1.
- gamw : float, optional
Unit weight of water. defaule gamw = 10.
- ui : float, optional
Initial uniform pore water pressure. Default ui = 1.
- nterms : int, optional
Maximum number of series terms. Default nterms= 100.
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 between depth H and depth Z.
- settlement : 1d array of float
Surface settlement at depth z.
Notes
The article [1] only has single values of theta and v. Here I’ve simply added more.
References
Code developed based on [1]
[1] (1, 2, 3, 4, 5, 6) Cosenza, Philippe, and Dean Korosak. 2014. ‘Secondary Consolidation of Clay as an Anomalous Diffusion Process’. International Journal for Numerical and Analytical Methods in Geomechanics: doi:10.1002/nag.2256.