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Keywords: tensor
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Proceedings Papers

Paper presented at the ISRM International Symposium – EUROCK 2021, September 21–24, 2021
Paper Number: ISRM-EUROCK-2021-191
... equation of the model involves the Laplacian of the strain tensor multiplied by the gradient coefficient. The formulated boundary value problem is solved analytically to derive stress, strain, and displacement distributions and discuss respective gradient effects on the mechanical behavior of the rock mass...
Proceedings Papers

Paper presented at the ISRM International Symposium – EUROCK 2021, September 21–24, 2021
Paper Number: ISRM-EUROCK-2021-096
... quartz environmental science 833 europe government reservoir characterization practice iop publishing iop conf matrix simulation biotite mineral tensor reservoir geomechanics equation theory vector Mechanics and Rock Engineering, from Theory to Practice IOP Publishing IOP Conf. Series...
Proceedings Papers

Paper presented at the ISRM European Rock Mechanics Symposium - EUROCK 2017, June 20–22, 2017
Paper Number: ISRM-EUROCK-2017-008
... compared the contribution of irregularly shaped 3D pores and ellipsoidal pores to the effective elastic properties. The relative error due to this ellipsoidal approximation is then estimated. The compliance contribution tensors of irregular 3D pores are evaluated numerically using finite element method...
Proceedings Papers

Paper presented at the ISRM European Rock Mechanics Symposium - EUROCK 2017, June 20–22, 2017
Paper Number: ISRM-EUROCK-2017-047
... Reservoir Characterization Wellbore Design variation wellbore integrity Upstream Oil & Gas tensor reservoir simulation micromechanical approach boundary condition construction materials gabssi composite material porosity effective bulk modulus estimation procedia engineering...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2016, August 29–31, 2016
Paper Number: ISRM-EUROCK-2016-013
... necessary. Stress is a second-order tensor, but variability of in situ stress measurements is customarily analysed by processing the principal stress magnitude and orientation separately. This violates the tensorial nature of stress and may yield biased results. To explicitly and correctly characterise...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2015, October 7–10, 2015
Paper Number: ISRM-EUROCK-2015-169
... reservoir geomechanics Riemannian approach distance measure geometry Upstream Oil & Gas calculation Riemannian mean Reservoir Characterization riemannian geometry Rock mechanics stress tensor Health & Medicine interpolation tensor mean function matrix mean stress tensor...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2014, May 27–29, 2014
Paper Number: ISRM-EUROCK-2014-200
... inversion routine after last generated numbers of generations and the best model is chosen (Dal Moro et al. 2007). 3 CRACK TENSOR AND VELOCITY TENSOR Studying the relationship between seismic anisotropy and crack anisotropy in Triassic dolomite. It was only interested in fractures perpendicular to the bed...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2014, May 27–29, 2014
Paper Number: ISRM-EUROCK-2014-220
... anisotropy numerical modeling Upstream Oil & Gas giot coefficient moduli flow in porous media tensor inverse method intrinsic permeability Fluid Dynamics radial pulse test Claystone interpretation anisotropy isotropy plane equation permeability Rock Engineering and Rock Mechanics...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2014, May 27–29, 2014
Paper Number: ISRM-EUROCK-2014-064
... as homogeneous, anisotropic porous medium. To describe fracture porosity a symmetric crack tensor depended on the geometry of the related cracks (aperture, size and orientation) is used. The direct in situ measurement are a sound basis for determining the crack tensor. The tensor is obtained by statistical...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2013, October 23–26, 2013
Paper Number: ISRM-EUROCK-2013-003
..., the seismicity induced by mining activities and the accompanying rockbursts occur in the hard coal mines in the Upper Silesian Coal Basin (the USCB) and the copper ore mines in the Legnica-Glogów Copper Region (LGOM). tremor mining tremor seismicity Upstream Oil & Gas tensor drift iii-1200-e2...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2013, October 23–26, 2013
Paper Number: ISRM-EUROCK-2013-019
... Upstream Oil & Gas rank crack tensor crack system rock mass Reservoir Characterization velocity anisotropy tensor dynamic elastic moduli potential direction elastic moduli orientation quarry crack tensor elastic property relation anisotropy wave velocity dolomite wave...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2013, October 23–26, 2013
Paper Number: ISRM-EUROCK-2013-075
... filled with liquid and gas. Upstream Oil & Gas micropore two-phase media expansion Fluid Dynamics tensor Pore Fluid biot-willis coefficient Reservoir Characterization laboratory test Strzelecki coefficient flow in porous media constitutive equation equation interaction...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2012, May 28–30, 2012
Paper Number: ISRM-EUROCK-2012-021
... resistivity meter. Results of field measurements were used to estimate the components of the velocity tensor and conductivity tensor characterising studied sites. This allowed to establish the relationship between the characteristic parameters of the tensors. Determination of these parameters in turn enabled...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2010, June 15–18, 2010
Paper Number: ISRM-EUROCK-2010-065
...+ and resistivity meter ABM Terrameter SAS 300. Results of field measurements were interpreted to estimate components of velocity tensor and conductivity tensor in the site under study. It allowed to establish the relationship between characteristic parameters of the tensors. This knowledge allows to find out mean...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2010, June 15–18, 2010
Paper Number: ISRM-EUROCK-2010-031
... ABSTRACT: This paper is devoted to constitutive modeling of induced anisotropic damage in stratified sedimentary rocks. The emphasis is put on the coupling between initial and induced anisotropies in general loading conditions. A new coupled plasticity-damage model based on fabric tensor...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2009, October 29–31, 2009
Paper Number: ISRM-EUROCK-2009-068
... Characterization displacement quantity rock engineering differential equation Upstream Oil & Gas rheological model analytical investigation initial condition equation rheological dynamic tensor time derivative tunnel rheology Continuum 441 Rock Engineering in Difficult Ground Conditions...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2009, October 29–31, 2009
Paper Number: ISRM-EUROCK-2009-021
... in the surface layers of rock mass and the strike azimuth and dip angle of cracks. Obtained data allowed us to calculate two- dimensional crack tensors and velocity tensors in planes parallel to the layer surface. The application of tensor calculus enable to take into account both geometry and orientation...
Proceedings Papers

Paper presented at the ISRM Regional Symposium - EUROCK 2009, October 29–31, 2009
Paper Number: ISRM-EUROCK-2009-042
.... As a preliminary result, the stress orientations which showed that the stress regimes in this area are not uniform were reported. structural geology orientation tensor reservoir geomechanics kii peninsula ASR measurement specimen Reservoir Characterization temperature change anelastic strain...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2005, May 18–20, 2005
Paper Number: ISRM-EUROCK-2005-061
... decided to use the hybridiza- tion of the lowest order Raviart- Thomas mixed finite element method (see Brezzi & Fortin 1991 or Kaass- chieter & I-Iuijben 1990) to find an approximate solution of the locally second order elliptic problem with discontinuous permeability tensor. We can more- Over easily...
Proceedings Papers

Paper presented at the ISRM International Symposium - EUROCK 2005, May 18–20, 2005
Paper Number: ISRM-EUROCK-2005-092
... ABSTRACT In the present research a relationship between seismic wave velocity anisotropy and the distribution of crack orientation parameters was studied using interpretation methods based on tensor calculus. Objects of the research were limestone and sandstone deposits located within...

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