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SAMC

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• ANNUAL REPORT 2015

Frozen soil

SAMCoT PhD Candidate Yared Bekele has been working in

the development and completion of a fully coupled thermo-

hydro-mechanical (THM) finite element model for frozen

soil is completed. The numerical tool developed has the

following important features:

• Isogeometric analysis with B-splines used as a numeri-

cal solution method leading to a local mass and energy

conserving simulation, unlike the standard finite

element method

• Full nonlinear implementation using Newton-Raphson

iterations with implicit time stepping

• Volume expansion and contraction incorporated into

the governing equations

The developed numerical tool is used to simulate frost

heave where a field-scale experimental data set is

Figure WP2_1 Initial and final configurations of a heave displacement observed at the centerline of the pipe.

available; see Smith and Patterson (1989). The experiment

was performed on a pipeline buried in silt with an initial

temperature of +4ºC and transporting chilled gas at -5ºC.

The external environment also has a subzero temperature

of -0.75ºC. Freezing is thus initiated from two fronts. The

frost heave simulation using the developed THM numeri-

cal tool resulted in heave displacements that are in good

agreement with the experimental data. A heave displace-

ment of about 20 cm is observed at the centerline of the

pipe. See the initial and final configurations shown below

(Figure WP2_1).

Bekele`s research within WP2 is continued within WP6,

Post-Doc Seyed Ali Amiri will use Bekele’s THM numerical

Framework and implement his own material model.