Productivity analysis for a vertically fractured well under non- Darcy flow condition

This work was supported by the National Natural Science Foundation of China No. 51204148 and the Fundamental Research Funds for the Central Universities

Simultaneous material and structural optimization by multiscale topology optimization

Acknowledgments The authors acknowledge the support from Engineering and Physical Sciences Research Council, grant number EP/M002322/1. The authors would also like to thank Numerical Analysis Group at the Rutherford Appleton Laboratory for their FORTRAN HSL packages (HSL, a collection of Fortran codes for large-scale scientific computation. See http://www.hsl.rl.ac.uk/).