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This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.

fractional discrete calculus --- discrete chaos --- Tinkerbell map --- bifurcation --- stabilization --- communication networks --- maximum flow --- network policies --- algorithms --- gas flow --- stress-sensitive porous media --- multiple hydraulic fractures --- vertical fractured well --- Output-feedback --- centralized control --- decentralized control --- closed-loop stabilization --- Hardy Cross method --- pipe networks --- piping systems --- hydraulic networks --- gas distribution --- multi-switching combination synchronization --- time-delay --- fractional-order --- stability --- Shehu transformation --- Adomian decomposition --- analytical solution --- Caputo derivatives --- (2+time fractional-order) dimensional physical models --- homotopy perturbation method --- variational iteration method --- Laplace transform method --- acoustic wave equations --- n/a

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The ocean is the cradle of life and is rich in natural resources. With the worldwide boom in exploration and application of ocean resources, a dramatically increasing amount of coastal engineering and offshore engineering facilities have been constructed in the last few decades. The rapid development of human economic activities and the global climate change have significant impacts on the marine environment, resulting in frequent geological disasters. Under this circumstance, there is an urgent demand for a platform for scientists and engineers to share their state-of-art research outcomes in the field of Marine Engineering Geology. This book is a collection of a series of articles from the 2nd International Symposium of Marine Engineering Geology (ISMEG 2019), presenting some of the recent efforts made towards marine engineering geology and geotechnics, including theoretical advances, laboratory and field testing, design methods, and the potential for further development of these disciplines.

marine soft soil --- double-layer foundation --- consolidation theory --- drainage boundary --- spudcan --- skirted footing --- footprint --- jack-up --- clay --- large deformation analysis --- coral sands --- porous media --- model test --- dispersion --- mechanical dispersion --- molecular diffusion --- soft clay --- cyclic loads --- residual pore pressure --- suction anchor --- wave --- seafloor instability --- pore pressure --- slide surface --- gas distribution --- meshfree method --- Varans --- Biot’s “u − p” approximation --- wave-current induced seabed response --- immersed tunnel --- sediment liquefaction --- heavy metal --- migration --- interior of sediment --- the subaqueous Yellow River Delta --- ocean waves --- double-frequency microseisms --- continental margin --- continental slope --- coral sand --- Fujian sand --- shaking table test --- dynamic response --- pile group --- marine engineering --- seismic liquefaction --- novel liquefaction-resistant structures --- mitigation strategies --- sand wave --- pressure sensing technique --- physical model test --- field application --- wingsail --- aerodynamics --- numerical simulation --- marine silty sand --- small-strain stiffness --- Hardin model --- binary packing model --- dredging and reclamation --- constitutive relationship --- centrifugal experiment --- void ratio–effective stress --- void ratio–permeability coefficient --- n/a --- Biot's "u − p" approximation --- void ratio-effective stress --- void ratio-permeability coefficient

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The need for energy is increasing and but the production from conventional reservoirs is declining quickly. This requires an economically and technically feasible source of energy for the coming years. Among some alternative future energy solutions, the most reasonable source is from unconventional reservoirs. As the name “unconventional” implies, different and challenging approaches are required to characterize and develop these resources. This Special Issue covers some of the technical challenges for developing unconventional energy sources from shale gas/oil, tight gas sand, and coalbed methane.

horizontal well --- shale gas --- shock loads --- pseudo-steady-state non-equilibrium sorption --- unsteady state non-equilibrium sorption --- porosity–permeability --- fractured-vuggy reservoirs --- flow channel --- pressure derivative --- total organic carbon (TOC) --- CO2 huff-n-puff --- flow behavior --- unconventional reservoirs --- semi-analytical model --- gravel pack --- optimization measures --- fractures --- lab tests under reservoir condition --- dual-porosity system --- unconventional --- gravity differentiation --- MICP --- perforation safety --- fracture penetration extent --- organic-rich shale --- stress-dependent permeability --- equilibrium sorption --- helium porosimetry --- numerical model --- original gas in-place --- shale alteration --- injection and production pattern --- adsorption and desorption isotherms --- low-pressure gas adsorption --- initial water saturation --- drilling fluid --- sorption hysteresis --- coalbed methane --- gas content --- capillary number --- reorientation fractures --- water flooding effect --- organic pores --- tight reservoir --- condensate recovery --- Langmuir pressure --- Klinkenberg slippage theory --- limestone and calcareous mudstone interbedding --- petrophysics --- tight gas sand --- numerical analysis --- northern Guizhou --- wettability --- peak pressure --- sand control --- water imbibition --- clay bound water --- carbon dioxide sequestration --- adsorption capacity --- gas compressibility factors --- convolutional neural network --- multi-stage fracturing horizontal wells --- fractured tight reservoir --- physical model --- tight gas reservoirs --- automatic classification --- NMR --- catalytic oxidation characteristics --- micro-CT image --- wellbore stability --- gas adsorption and desorption --- gas shale --- medium volatile bituminous coal --- hydraulic flow units --- GEM® --- petrophysical properties --- compositional 3D --- rock-water-CO2 interaction --- source-mixed gas --- residual gas distribution --- oxidation reaction pathway --- coal rank --- oil migration --- clay content --- perforated string --- TOC recovery --- Computer Modelling Group (CMG) --- capillary trapping --- pore size distribution --- adsorption --- tight reservoirs --- well interference --- gradation optimization --- shale gas condensate reservoir --- Niutitang formation --- pulse decay test --- well testing --- Langmuir model --- methane adsorption capacity --- pore structure --- and tight sand gas) --- ultra-deep well --- deepwater well --- orthogonal test --- high pressure and low flowrate --- theoretical model --- safety analysis --- transient pressure --- catalyst-activated low temperature oxidation --- reservoir simulation --- Langmuir volume --- air flooding --- petrography --- total organic carbon --- electrical resistivity --- diffusion coefficient --- equation of state --- porosity --- zeta potential --- gas permeability measurement --- co-exploitation --- nuclear magnetic resonance --- Changqing tight oil --- visual experiment --- tight oil reservoirs --- caprock integrity --- coal measure gases (coalbed gas --- NIST-Refprop