[CIG-SHORT] PyLith: Stresses not transmitted throughout the domain from Drichlet BCs on CUBIT Mesh

Mamun Miah mmiah at go.olemiss.edu
Tue Oct 20 15:53:27 PDT 2015 

Thanks a lot. I really appreciate all of your cooperation.

On Tue, Oct 20, 2015 at 3:33 PM, Brad Aagaard <baagaard at usgs.gov> wrote:

> On 10/20/2015 03:29 PM, Mamun Miah wrote:
>
>> Thanks, Matt and Brad. Actually, I am using a fault similar to what has
>> been demonstrated in the PyLith tutorial problems (step**.cfg) for
>> hexahedral elements.
>> Brad, I have tried with various combination of tolerances by keeping in
>> mind that zero_tolerance be greater than the KSP atol and less than the
>> SNES atol but did not get convergence.
>>
>> FYI, we at the LBNL have linked PyLith with a fluid flow simulation code
>> TOUGH2 in order to simulate induced earthquakes from fluid injection. The
>> coupled simulator is working fine. I am at the final stage of my PhD and
>> in
>> need of showing an application using this coupled approach. What would be
>> the simplest way of modeling a fault in PyLith considering the convergence
>> issue?
>>
>
> A reasonable application is a fault embedded within a domain, but
> extending to the surface. The friction solve will converge much more
> rapidly for this more realistic geometry.
>
> Regards,
> Brad
>
>
>
>
>> Any suggestion would be appreciated.
>>
>> Thanks,
>> Mamun
>>
>> On Tue, Oct 20, 2015 at 3:05 PM, Matthew Knepley <knepley at mcs.anl.gov>
>> wrote:
>>
>> On Tue, Oct 20, 2015 at 4:54 PM, Matthew Knepley <knepley at mcs.anl.gov>
>>> wrote:
>>>
>>> On Tue, Oct 20, 2015 at 1:35 PM, Mamun Miah <mmiah at go.olemiss.edu>
>>>> wrote:
>>>>
>>>> Please find attached.
>>>>>
>>>>>
>>>> Can you rerun without the -snes_view (and -ksp_view if you have it).
>>>> That
>>>> is a lot of noise here.
>>>>
>>>> It looks like the friction solver is not converging. That is pretty
>>>> tricky and we have no theory for
>>>> when it should work and fail. I will have to talk to Brad about this
>>>> one.
>>>>
>>>>
>>> Okay, it looks like this is a through-going fault with friction. This can
>>> be very very slow to converge
>>> with our old formulation. We have an improved formulation with the next
>>> release of PyLith. This
>>> will have a better solution method.
>>>
>>>    Thanks,
>>>
>>>       Matt
>>>
>>>
>>>    Thanks,
>>>>
>>>>      Matt
>>>>
>>>>
>>>> Thanks,
>>>>> Mamun
>>>>>
>>>>> On Tue, Oct 20, 2015 at 11:14 AM, Matthew Knepley <knepley at mcs.anl.gov
>>>>> >
>>>>> wrote:
>>>>>
>>>>> On Tue, Oct 20, 2015 at 12:29 PM, Mamun Miah <mmiah at go.olemiss.edu>
>>>>>> wrote:
>>>>>>
>>>>>> Hello Brad et al,
>>>>>>>
>>>>>>> Following your tips I was able to run my simulation smoothly for 10
>>>>>>> years. Now when I increased the same problem for a simulation time
>>>>>>> of 100
>>>>>>> years, I am getting SNESSolve convergence error: 'Nonlinear solve
>>>>>>> did not
>>>>>>> converge due to DIVERGED_MAX_IT iterations 100.' After searching the
>>>>>>> log
>>>>>>> file I have found the following; not sure if that's the root of this
>>>>>>> issue.
>>>>>>>
>>>>>>> "Line search: Cubic step no good, shrinking lambda, current gnorm
>>>>>>> 9.815191568334e-05 lambda=1.3655042609323631e-01"
>>>>>>>
>>>>>>>
>>>>>> For any convergence question I need to see the output from
>>>>>>
>>>>>>    -snes_view -snes_monitor -ksp_monitor_true_residual
>>>>>> -snes_converged_reason -ksp_converged_reason -snes_linesearch_monitor
>>>>>>
>>>>>>    Thanks,
>>>>>>
>>>>>>      Matt
>>>>>>
>>>>>>
>>>>>> I have tried your tips in the following threads:
>>>>>>>
>>>>>>>
>>>>>>> http://lists.geodynamics.org/pipermail/cig-short/2012-September/001129.html
>>>>>>>
>>>>>>>
>>>>>>> http://lists.geodynamics.org/pipermail/cig-short/2014-October/001881.html
>>>>>>>
>>>>>>> http://lists.geodynamics.org/pipermail/cig-short/2015-July/002174.html
>>>>>>>
>>>>>>> Also, like Matt suggested in this link:
>>>>>>>
>>>>>>> http://lists.geodynamics.org/pipermail/cig-short/2013-December/001555.html
>>>>>>> ,
>>>>>>> that using a
>>>>>>>
>>>>>>> fs_fieldsplit_0_pc_factor_shift_type nonzero
>>>>>>>
>>>>>>> for Lagrange multipliers weakens the preconditioner. Could it be an
>>>>>>> issue?
>>>>>>>
>>>>>>> Finally, I have tried various PETSc options from 2015 tutorial but in
>>>>>>> vain. I end up with the same SNESSolve error. I would really
>>>>>>> appreciate any
>>>>>>> hints or suggestions in this regard.
>>>>>>>
>>>>>>> Attached are the relevant files.
>>>>>>>
>>>>>>> On Thu, Oct 15, 2015 at 5:14 PM, Mamun Miah <mmiah at go.olemiss.edu>
>>>>>>> wrote:
>>>>>>>
>>>>>>> Thanks, Matt for the clarification of the zero pivots related to
>>>>>>>> fault. Yep, setting fieldslpit option along with pc_type = lu
>>>>>>>> results in
>>>>>>>> the convergence of the solution. Will make use of the 2015 tutorial
>>>>>>>> like
>>>>>>>> you suggested. Really appreciate Charles's, Matt's, and your help.
>>>>>>>>
>>>>>>>> On Thu, Oct 15, 2015 at 4:48 PM, Brad Aagaard <baagaard at usgs.gov>
>>>>>>>> wrote:
>>>>>>>>
>>>>>>>> If you tried to use lu with a fault, you will get zero pivots
>>>>>>>>> because the Lagrange multiplier constraints have zero entries on
>>>>>>>>> the
>>>>>>>>> diagonal. Using the fieldsplit settings (see
>>>>>>>>> examples/3d/tet4/step04.cfg)
>>>>>>>>> will remedy this problem.
>>>>>>>>>
>>>>>>>>> I strongly recommend that you make use of the PyLith tutorial
>>>>>>>>> information posted at
>>>>>>>>> https://wiki.geodynamics.org/software:pylith:start. We have a lot
>>>>>>>>> of hints on how to check your solution and debug. From the 2015
>>>>>>>>> tutorial,
>>>>>>>>> you will likely find the slides from Session I and the
>>>>>>>>> presentations for
>>>>>>>>> Sessions III and IV most useful.
>>>>>>>>>
>>>>>>>>> Regards,
>>>>>>>>> Brad
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> On 10/15/2015 04:35 PM, Matthew Knepley wrote:
>>>>>>>>>
>>>>>>>>> On Thu, Oct 15, 2015 at 6:07 PM, Mamun Miah <mmiah at go.olemiss.edu>
>>>>>>>>>> wrote:
>>>>>>>>>>
>>>>>>>>>> Dear Matt,
>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> I have tried with pc_type = lu, which shows zero pivots in the
>>>>>>>>>>> matrices.
>>>>>>>>>>> Did not realize that before setting pc_type = lu. Thanks a lot
>>>>>>>>>>> for
>>>>>>>>>>> telling
>>>>>>>>>>> me that. Then I have tried with pc_type = cholesky, which seems
>>>>>>>>>>> to
>>>>>>>>>>> be
>>>>>>>>>>> working now resulting in convergence of my problem.
>>>>>>>>>>> Thanks to you and Charles again for guiding me in the right
>>>>>>>>>>> direction to
>>>>>>>>>>> investigate the problem further.
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> If you have zero pivots, that means your problem is
>>>>>>>>>> under-constrained, and
>>>>>>>>>> you need to fix the model.
>>>>>>>>>>
>>>>>>>>>>     Thanks,
>>>>>>>>>>
>>>>>>>>>>        Matt
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On Thu, Oct 15, 2015 at 3:11 PM, Matthew Knepley <
>>>>>>>>>>
>>>>>>>>>>> knepley at mcs.anl.gov>
>>>>>>>>>>> wrote:
>>>>>>>>>>>
>>>>>>>>>>> On Thu, Oct 15, 2015 at 4:26 PM, Mamun Miah <
>>>>>>>>>>> mmiah at go.olemiss.edu>
>>>>>>>>>>>
>>>>>>>>>>>> wrote:
>>>>>>>>>>>>
>>>>>>>>>>>> Charles,
>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Thanks again for your suggestion. I have reproduced the
>>>>>>>>>>>>> geometry
>>>>>>>>>>>>> and
>>>>>>>>>>>>> improved the mesh quality by checking with 'Allmetrics' in
>>>>>>>>>>>>> Cubit
>>>>>>>>>>>>> (attached
>>>>>>>>>>>>> below). Condition number is below 2 (1.606) and maximum aspect
>>>>>>>>>>>>> ratio is 3.
>>>>>>>>>>>>> Still I am getting the same convergence errors. I have also
>>>>>>>>>>>>> tried the tips
>>>>>>>>>>>>> found in the threads that Brad answered in the CIG-SHORT:
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Run with LU until you understand the system: --petsc.pc_type=lu
>>>>>>>>>>>>
>>>>>>>>>>>> There is an entire tutorial on the solvers which tells you to do
>>>>>>>>>>>> this
>>>>>>>>>>>> first.
>>>>>>>>>>>>
>>>>>>>>>>>>     Thanks,
>>>>>>>>>>>>
>>>>>>>>>>>>       Matt
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>> http://lists.geodynamics.org/pipermail/cig-short/2014-October/001885.html
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> http://lists.geodynamics.org/pipermail/cig-short/2012-September/001129.html
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Hex quality, 810 elements:
>>>>>>>>>>>>>
>>>>>>>>>>>>> ------------------------------------
>>>>>>>>>>>>>
>>>>>>>>>>>>> Function Name  Average  Std Dev   Minimum (id)    Maximum (id)
>>>>>>>>>>>>>
>>>>>>>>>>>>> -----------------     ---------   ---------      --------------
>>>>>>>>>>>>> -------------
>>>>>>>>>>>>>
>>>>>>>>>>>>> Aspect Ratio 1.222e+00 6.289e-01 1.000e+00 (1) 3.000e+00 (724)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Skew 8.104e-16 8.536e-16 0.000e+00 (10) 6.821e-15 (733)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Taper 8.561e-16 8.748e-16 0.000e+00 (3) 6.845e-15 (736)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Element Volume 2.500e+07 5.660e+06 9.000e+06 (733) 2.700e+07
>>>>>>>>>>>>> (505)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Stretch 9.330e-01 1.895e-01 3.974e-01 (782) 1.000e+00 (10)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Diagonal Ratio 1.000e+00 4.591e-08 1.000e+00 (372) 1.000e+00
>>>>>>>>>>>>> (10)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Dimension 1.640e+02 2.602e+01 9.045e+01 (809) 1.732e+02 (315)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Condition No. 1.067e+00 1.907e-01 1.000e+00 (3) 1.606e+00 (737)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Jacobian 2.500e+07 5.660e+06 9.000e+06 (763) 2.700e+07 (315)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Scaled Jacobian 1.000e+00 0.000e+00 1.000e+00 (248) 1.000e+00
>>>>>>>>>>>>> (1)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Shear 1.000e+00 0.000e+00 1.000e+00 (248) 1.000e+00 (1)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Shape 9.648e-01 9.963e-02 6.832e-01 (737) 1.000e+00 (1)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Relative Size 7.765e-01 2.288e-01 1.296e-01 (733) 8.573e-01
>>>>>>>>>>>>> (487)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Shear And Size 7.765e-01 2.288e-01 1.296e-01 (733) 8.573e-01
>>>>>>>>>>>>> (487)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Shape And Size 7.719e-01 2.418e-01 8.854e-02 (733) 8.573e-01
>>>>>>>>>>>>> (487)
>>>>>>>>>>>>>
>>>>>>>>>>>>> Distortion 1.000e+00 5.167e-08 1.000e+00 (367) 1.000e+00 (11)
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Not sure what else I should try next. Please also see the
>>>>>>>>>>>>> attached files.
>>>>>>>>>>>>>
>>>>>>>>>>>>> Thanks,
>>>>>>>>>>>>> Mamun
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> On Wed, Oct 14, 2015 at 11:11 AM, Charles Williams <
>>>>>>>>>>>>> willic3 at gmail.com>
>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>
>>>>>>>>>>>>> Dear Mamun,
>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Your linear convergence looks very slow.  You could increase
>>>>>>>>>>>>>> the number
>>>>>>>>>>>>>> of iterations, but I’m not sure if that would solve your
>>>>>>>>>>>>>> problem.  I would
>>>>>>>>>>>>>> start with a higher quality mesh.  Ideally, you would like to
>>>>>>>>>>>>>> have a mesh
>>>>>>>>>>>>>> where the condition number quality measure is less than 2 for
>>>>>>>>>>>>>> the entire
>>>>>>>>>>>>>> mesh, particularly for problems involving fault friction.  If
>>>>>>>>>>>>>> this is too
>>>>>>>>>>>>>> difficult to achieve using hexahedral elements, you might need
>>>>>>>>>>>>>> to try
>>>>>>>>>>>>>> tetrahedral elements.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Cheers,
>>>>>>>>>>>>>> Charles
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> On 15/10/2015, at 6:09 am, Mamun Miah <mmiah at go.olemiss.edu>
>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Thanks, Charles. Your comments are very helpful. I have been
>>>>>>>>>>>>>> going
>>>>>>>>>>>>>> through each of your comments and discovered that both
>>>>>>>>>>>>>> KSPSolve
>>>>>>>>>>>>>> and
>>>>>>>>>>>>>> SNESSolve do not converge when I uncommented corresponding
>>>>>>>>>>>>>> flag
>>>>>>>>>>>>>> options. So
>>>>>>>>>>>>>> I figured the problem is with the mesh creation. Also set the
>>>>>>>>>>>>>> the
>>>>>>>>>>>>>> normalizer according to the smallest mesh dimension. Attached
>>>>>>>>>>>>>> here is the
>>>>>>>>>>>>>> log file in case you want to see.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Thanks again,
>>>>>>>>>>>>>> Mamun
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> On Tue, Oct 13, 2015 at 12:37 PM, Charles Williams <
>>>>>>>>>>>>>> willic3 at gmail.com>
>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Dear Mamun,
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> It is a bit difficult to diagnose your problem without more
>>>>>>>>>>>>>>> information.  However, here are several potential problems:
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> 1.  First of all, the mesh you’re using is not of very high
>>>>>>>>>>>>>>> quality.
>>>>>>>>>>>>>>> The method you’ve used for refinement is pretty crude, and
>>>>>>>>>>>>>>> will never
>>>>>>>>>>>>>>> result in high quality elements. Trelis/Cubit has a number of
>>>>>>>>>>>>>>> more powerful
>>>>>>>>>>>>>>> methods for creating a high quality mesh, and I would take
>>>>>>>>>>>>>>> advantage of
>>>>>>>>>>>>>>> those.
>>>>>>>>>>>>>>> 2.  It is unclear why you have set the normalization length
>>>>>>>>>>>>>>> scale to 1
>>>>>>>>>>>>>>> m, since I believe this is much smaller than your smallest
>>>>>>>>>>>>>>> element.
>>>>>>>>>>>>>>> 3.  There is no indication of whether the linear and
>>>>>>>>>>>>>>> nonlinear
>>>>>>>>>>>>>>> solutions are converging, since you have turned off all the
>>>>>>>>>>>>>>> solution
>>>>>>>>>>>>>>> monitoring options, including the journal options.  You
>>>>>>>>>>>>>>> should
>>>>>>>>>>>>>>> never do
>>>>>>>>>>>>>>> this, as there is then no way to tell what has happened with
>>>>>>>>>>>>>>> your solution.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> You should try running your problem again with all the
>>>>>>>>>>>>>>> solution
>>>>>>>>>>>>>>> monitoring options turned back on, and save the results to a
>>>>>>>>>>>>>>> log file.
>>>>>>>>>>>>>>> This will help us diagnose your problem further.  I would
>>>>>>>>>>>>>>> also
>>>>>>>>>>>>>>> try
>>>>>>>>>>>>>>> improving your mesh quality and selecting a normalization
>>>>>>>>>>>>>>> length scale that
>>>>>>>>>>>>>>> is appropriate for your mesh (~equal to the smallest cell
>>>>>>>>>>>>>>> dimension).
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Cheers,
>>>>>>>>>>>>>>> Charles
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> On 14/10/2015, at 6:26 am, Mamun Miah <mmiah at go.olemiss.edu>
>>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Hello Developers,
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> I have created the attached geometry (5kmx5kmx4.1km) in
>>>>>>>>>>>>>>> CUBIT.
>>>>>>>>>>>>>>> It has
>>>>>>>>>>>>>>> three layer of materials (2000m+100m+200m) and a vertical
>>>>>>>>>>>>>>> fault (along Z
>>>>>>>>>>>>>>> axis) 1000m to the left from the positive X-plane boundary.
>>>>>>>>>>>>>>> The exported
>>>>>>>>>>>>>>> Exodus mesh is then used to run a PyLith simulation with
>>>>>>>>>>>>>>> Dirichlet
>>>>>>>>>>>>>>> displacement and displacement rate BCs (e.g. PyLith Tutorial
>>>>>>>>>>>>>>> 'step12.cfg')
>>>>>>>>>>>>>>> on +x and -x sides. The simulation runs fine but even after
>>>>>>>>>>>>>>> running for 100
>>>>>>>>>>>>>>> years I don't see any stress being transmitted to the
>>>>>>>>>>>>>>> interior
>>>>>>>>>>>>>>> domain. All
>>>>>>>>>>>>>>> I can see is the stress changes in the boundary elements
>>>>>>>>>>>>>>> where
>>>>>>>>>>>>>>> the
>>>>>>>>>>>>>>> Dirichlet BCs are applied. I am not sure if it is caused by
>>>>>>>>>>>>>>> improper
>>>>>>>>>>>>>>> meshing or boundary conditions.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Attached also are the .cfg files, geometry journal file, and
>>>>>>>>>>>>>>> stress
>>>>>>>>>>>>>>> output file from simulation. I would highly appreciate any
>>>>>>>>>>>>>>> help.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> --
>>>>>>>>>>>>>>> Thanks & Best Regards,
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Mamun Miah
>>>>>>>>>>>>>>> Graduate Research Assistant
>>>>>>>>>>>>>>> Department of Civil Engineering
>>>>>>>>>>>>>>> The University of Mississippi
>>>>>>>>>>>>>>> Oxford, MS 38655
>>>>>>>>>>>>>>> Phone: (662)-801-1904
>>>>>>>>>>>>>>> Website:
>>>>>>>>>>>>>>> http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>>>>>>>>>>> <geometry.jpg><application.cfg><pylithapp.cfg><visit0000.png>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> <application.jou>_______________________________________________
>>>>>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Charles A. Williams
>>>>>>>>>>>>>>> Scientist
>>>>>>>>>>>>>>> GNS Science
>>>>>>>>>>>>>>> 1 Fairway Drive, Avalon
>>>>>>>>>>>>>>> PO Box 30368
>>>>>>>>>>>>>>> Lower Hutt  5040
>>>>>>>>>>>>>>> New Zealand
>>>>>>>>>>>>>>> ph (office): 0064-4570-4566
>>>>>>>>>>>>>>> fax (office): 0064-4570-4600
>>>>>>>>>>>>>>> C.Williams at gns.cri.nz
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> _______________________________________________
>>>>>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> --
>>>>>>>>>>>>>> Thanks & Best Regards,
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Mamun Miah
>>>>>>>>>>>>>> Graduate Research Assistant
>>>>>>>>>>>>>> Department of Civil Engineering
>>>>>>>>>>>>>> The University of Mississippi
>>>>>>>>>>>>>> Oxford, MS 38655
>>>>>>>>>>>>>> Phone: (662)-801-1904
>>>>>>>>>>>>>> Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>>>>>>>>>> <log>_______________________________________________
>>>>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Charles A. Williams
>>>>>>>>>>>>>> Scientist
>>>>>>>>>>>>>> GNS Science
>>>>>>>>>>>>>> 1 Fairway Drive, Avalon
>>>>>>>>>>>>>> PO Box 30368
>>>>>>>>>>>>>> Lower Hutt  5040
>>>>>>>>>>>>>> New Zealand
>>>>>>>>>>>>>> ph (office): 0064-4570-4566
>>>>>>>>>>>>>> fax (office): 0064-4570-4600
>>>>>>>>>>>>>> C.Williams at gns.cri.nz
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> _______________________________________________
>>>>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> --
>>>>>>>>>>>>> Thanks & Best Regards,
>>>>>>>>>>>>>
>>>>>>>>>>>>> Mamun Miah
>>>>>>>>>>>>> Graduate Research Assistant
>>>>>>>>>>>>> Department of Civil Engineering
>>>>>>>>>>>>> The University of Mississippi
>>>>>>>>>>>>> Oxford, MS 38655
>>>>>>>>>>>>> Phone: (662)-801-1904
>>>>>>>>>>>>> Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>>>>>>>>>
>>>>>>>>>>>>> _______________________________________________
>>>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> --
>>>>>>>>>>>> What most experimenters take for granted before they begin their
>>>>>>>>>>>> experiments is infinitely more interesting than any results to
>>>>>>>>>>>> which their
>>>>>>>>>>>> experiments lead.
>>>>>>>>>>>> -- Norbert Wiener
>>>>>>>>>>>>
>>>>>>>>>>>> _______________________________________________
>>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> --
>>>>>>>>>>> Thanks & Best Regards,
>>>>>>>>>>>
>>>>>>>>>>> Mamun Miah
>>>>>>>>>>> Graduate Research Assistant
>>>>>>>>>>> Department of Civil Engineering
>>>>>>>>>>> The University of Mississippi
>>>>>>>>>>> Oxford, MS 38655
>>>>>>>>>>> Phone: (662)-801-1904
>>>>>>>>>>> Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>>>>>>>
>>>>>>>>>>> _______________________________________________
>>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> _______________________________________________
>>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> _______________________________________________
>>>>>>>>> CIG-SHORT mailing list
>>>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>>>
>>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> --
>>>>>>>> Thanks & Best Regards,
>>>>>>>>
>>>>>>>> Mamun Miah
>>>>>>>> Graduate Research Assistant
>>>>>>>> Department of Civil Engineering
>>>>>>>> The University of Mississippi
>>>>>>>> Oxford, MS 38655
>>>>>>>> Phone: (662)-801-1904
>>>>>>>> Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> --
>>>>>>> Thanks & Best Regards,
>>>>>>>
>>>>>>> Mamun Miah
>>>>>>> Graduate Research Assistant
>>>>>>> Department of Civil Engineering
>>>>>>> The University of Mississippi
>>>>>>> Oxford, MS 38655
>>>>>>> Phone: (662)-801-1904
>>>>>>> Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>>>
>>>>>>> _______________________________________________
>>>>>>> CIG-SHORT mailing list
>>>>>>> CIG-SHORT at geodynamics.org
>>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>>
>>>>>>>
>>>>>>
>>>>>>
>>>>>> --
>>>>>> What most experimenters take for granted before they begin their
>>>>>> experiments is infinitely more interesting than any results to which
>>>>>> their
>>>>>> experiments lead.
>>>>>> -- Norbert Wiener
>>>>>>
>>>>>> _______________________________________________
>>>>>> CIG-SHORT mailing list
>>>>>> CIG-SHORT at geodynamics.org
>>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>>
>>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> Thanks & Best Regards,
>>>>>
>>>>> Mamun Miah
>>>>> Graduate Research Assistant
>>>>> Department of Civil Engineering
>>>>> The University of Mississippi
>>>>> Oxford, MS 38655
>>>>> Phone: (662)-801-1904
>>>>> Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
>>>>>
>>>>> _______________________________________________
>>>>> CIG-SHORT mailing list
>>>>> CIG-SHORT at geodynamics.org
>>>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>>>
>>>>>
>>>>
>>>>
>>>> --
>>>> What most experimenters take for granted before they begin their
>>>> experiments is infinitely more interesting than any results to which
>>>> their
>>>> experiments lead.
>>>> -- Norbert Wiener
>>>>
>>>>
>>>
>>>
>>> --
>>> What most experimenters take for granted before they begin their
>>> experiments is infinitely more interesting than any results to which
>>> their
>>> experiments lead.
>>> -- Norbert Wiener
>>>
>>> _______________________________________________
>>> CIG-SHORT mailing list
>>> CIG-SHORT at geodynamics.org
>>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>>
>>>
>>
>>
>>
>>
>> _______________________________________________
>> CIG-SHORT mailing list
>> CIG-SHORT at geodynamics.org
>> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>>
>>
> _______________________________________________
> CIG-SHORT mailing list
> CIG-SHORT at geodynamics.org
> http://lists.geodynamics.org/cgi-bin/mailman/listinfo/cig-short
>



-- 
Thanks & Best Regards,

Mamun Miah
Graduate Research Assistant
Department of Civil Engineering
The University of Mississippi
Oxford, MS 38655
Phone: (662)-801-1904
Website: http://www.linkedin.com/pub/mamun-miah-eit/21/53/339
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