Utilizing observations of borehole failure in deviated wellbores to constrain the full stress tensor in deep wells and mines

2010 ◽  
pp. 69-76 ◽  
Author(s):  
Mark Zoback ◽  
Pijush Paul ◽  
Amie Lucier
Keyword(s):  
Stress Tensor ◽  
Deep Wells ◽  
Full Stress Tensor

Quantification and Reduction of Uncertainties in 3D Stress Models

2020 ◽  
Author(s):  
Moritz Ziegler ◽  
Oliver Heidbach
Keyword(s):  
Standard Deviation ◽  
Stress State ◽  
Stress Tensor ◽  
Principal Stress ◽  
Weighted Average ◽  
Individual Model ◽  
Area Of Interest ◽  
Integrity Tests ◽  
Full Stress Tensor ◽  
Model Scenarios

<p>The undisturbed stress state of a potential site for nuclear waste disposal is of key importance for the assessment of long-term stability of the geotechnical installations and for seismic hazard assessment. In particular, the stability of pre-existing faults within and near a repository can only be evaluated with the knowledge of the initial stress state. Information on stress magnitudes is rare and unevenly distributed. Thus, 3D geomechanical-numerical modelling is used to estimate the stress state in an area of interest. However, due to the limitation of available data, the modelled stress state has a large uncertainty which has not been rigorously quantified yet. We present an approach to quantify the uncertainties in a 3D geomechanical-numerical modelled stress field. We combine the available S<sub>Hmax</sub> and S<sub>hmin</sub> data records to pairs. For each pair we compute an individual model scenario. At each location in the model each scenario contains the full stress tensor. Then, from all model scenarios we compute an average value and a standard deviation for each component of the full stress tensor at each location within the model. This provides a comprehensive assessment of the stress state and its uncertainties.</p><p>Furthermore, we present an approach to reduce the previously quantified uncertainties in the model results: We use additional borehole observables (Formation Integrity Tests) and observed seismicity and - if available - its focal mechanisms. These observables cannot provide any data records on the stress state. Yet, the information that can be extracted is valuable as it contains upper boundaries for the magnitudes of the minimum principal stress (Formation Integrity Tests) and the maximum principal stress/differential stress (seismicity), respectively. These boundaries are compared to the stress states in the individual model scenarios. Then, each scenario is assigned a weight based on its agreement with the additional data. This allows computing a weighted average and a standard deviation. The resulting standard deviation is clearly smaller compared to the unweighted approach and small changes in the average stress state are observed. Thus, even with only limited data record availability, a quantification and even a significant reduction of uncertainties in the modelling results is possible which increases the significance and value of the model.</p>

scholarly journals Measurement of the full stress tensor in a crystal using photoluminescence from point defects: The example of nitrogen vacancy centers in diamond

2013 ◽  
Vol 103 (10) ◽  
pp. 101905 ◽  
Author(s):  
Fabio Grazioso ◽  
Brian R. Patton ◽  
Paul Delaney ◽  
Matthew L. Markham ◽  
Daniel J. Twitchen ◽  
...  
Keyword(s):  
Stress Tensor ◽  
Point Defects ◽  
Nitrogen Vacancy ◽  
Nitrogen Vacancy Centers ◽  
Full Stress Tensor

Stress Distribution in Iron Powder during Die Compaction

2014 ◽  
Vol 777 ◽  
pp. 243-248 ◽  
Author(s):  
Erich H. Kisi ◽  
Christopher M. Wensrich ◽  
Vladimir Luzin ◽  
Oliver Kirstein
Keyword(s):  
Residual Stress ◽  
Stress Distribution ◽  
Neutron Diffraction ◽  
Stress Tensor ◽  
Granular Materials ◽  
Stress Distributions ◽  
Scanning Method ◽  
Die Compaction ◽  
State Of Matter ◽  
Full Stress Tensor

The unique and unusual state of matter represented by granular materials has historically made it very difficult to develop models of stress distributions and was previously not able to be explored experimentally in the required detail. This paper reports the application of the neutron diffraction strain scanning method, originally developed for residual stress measurements within engineering components, to the problem of the stress distribution in granular Fe under a consolidating pressure. Strains were measured in axial, radial, circumferential and an oblique direction using the neutron strain scanning diffractometer KOWARI at ANSTO (Sydney). The full stress tensor as a function of position was able to be extracted for both straight walled, converging and stepped dies.

scholarly journals A 3D Full Stress Tensor Model for Oklahoma

2021 ◽  
Vol 126 (4) ◽  
Author(s):  
Chengping Chai ◽  
Andrew A. Delorey ◽  
Monica Maceira ◽  
Will Levandowski ◽  
Robert A. Guyer ◽  
...  
Keyword(s):  
Stress Tensor ◽  
Tensor Model ◽  
Full Stress Tensor

On the Internal Constitutions of the Planets

1967 ◽  
Vol 1 (1) ◽  
pp. 2-3 ◽  
Author(s):  
K. E. Bullen
Keyword(s):  
Temperature Dependence ◽  
Stress Tensor ◽  
Equations Of State ◽  
Moment Of Inertia ◽  
Terrestrial Planets ◽  
Use Of Data ◽  
The Earth ◽  
The Moment ◽  
Full Stress Tensor ◽  
Secondary Consequence

The internal constitutions of the terrestrial planets Mars, Venus and Mercury are investigated through the use of ‘equations of state’ empirically derived for particular internal zones of the Earth. The equations usually take the form of tabular relations between the pressure p and density p, temperature dependence being treated as of secondary consequence. In using p rather the full stress tensor in solid zones, i.e. in using a hydrostatic theory, the effects of strength and deviatoric stress are also treated as of secondary consequence. Except for the use of data on the ellipticity ∊ of figure of a planet to provide evidence on the moment of inertia I, the planets are treated as spherically symmetrical.

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