[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 15:29:15 PDT 2015
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?
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
>
--
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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