By Ramon E Moore
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Additional resources for Computational functional analysis
This results in a change of nearly 2 orders in the flow-rates, as shown in Figures 2-14a and 2-14b. This is not surprising, because the flow-rates through fractures are proportion to the cubic of the aperture of the fractures, as described in equation (1-21). Figures 2-14c and 2-14d show the flow-rates of the same model under horizontal stresses of 20 and 30 MPa, respectively, but the loading directions of the principal stresses were different. When the direction of the major horizontal stress was rotated from 45 ° to 90°, the displacements had a slight change in terms of magnitude and distribution.
0-H Fluid pressure = 1000 Pa 1; 2; O')t: Fluid pressure = 1000 Pa 4; 8; ~ 16 ( x 10-6m2 S"l) Figure 2-10 Comparison of flow directions and flow-rates in different models under fluid pressure gradient in the Y-direction. Relatively small changes in hydro-aperture lead to significant variation in flow-rates, and flow patterns. 1 x 106m2 s! ----4; 8; ~ O" H 16(x 106rn2sl) Figure 2-11 Comparison of flow directions and flow-rates in different models reader fluid pressm'e gradient in the X-direction.
The logic of the formulation is intended for steady-state flow; and in such circumstances a free surface cannot be modelled. 7. JNG Numerical modelling aims to numerically reconstruct a physical reality and to numerically simulate the evolution of the physical system under a variety of initial conditions and external loads. Hence, methods of numerical analysis must satisfy appropriate criteria for accuracy, stability, convergence and efficiency. One can no more expect the solution method to improve the physical theory than the physical theory to improve the numerical analysis [Pister, 1973].
Computational functional analysis by Ramon E Moore