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

Matthew Knepley knepley at mcs.anl.gov
Tue Oct 20 16:31:49 PDT 2015 

On Tue, Oct 20, 2015 at 5:53 PM, Mamun Miah <mmiah at go.olemiss.edu> wrote:

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

Would you mind sending your thesis when you are finished? This coupling
with TOUGH2 is very interesting.

  Thanks,

    Matt


> 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
>
> _______________________________________________
> 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
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.geodynamics.org/pipermail/cig-short/attachments/20151020/4999f72c/attachment-0001.html>

More information about the CIG-SHORT mailing list