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

Tue Oct 20 15:05:29 PDT 2015

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
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.geodynamics.org/pipermail/cig-short/attachments/20151020/fb84a3da/attachment-0001.html>