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The wave reflection and transmission (R/T) coefficients in fluid-saturated porous media with the effect of effective pressure are rarely studied, despite the ubiquitous presence of in situ pressure in the subsurface Earth. To fill this knowledge gap, we derive exact R/T coefficient equations for a plane wave incident obliquely at the interface between the dissimilar pressured fluid-saturated porous half-spaces described by the theory of poro-acoustoelasticity (PAE). The central result of the classic PAE theory is first reviewed, and then a dual-porosity model is employed to generalize this theory by incorporating the impact of nonlinear crack deformation. The new velocity equations of generalized PAE theory can describe the nonlinear pressure dependence of fast P-, S- and slow P-wave velocities and have a reasonable agreement with the laboratory measurements. The general boundary conditions associated with membrane stiffness are used to yield the exact pressure-dependent wave R/T coefficient equations. We then model the impacts of effective pressure on the angle and frequency dependence of wave R/T coefficients and synthetic seismic responses in detail and compare our equations to the previously reported equations in zero-pressure case. It is inferred that the existing R/T coefficient equations for porous media may be misleading, since they lack consideration for inevitable in situ pressure effects. Modeling results also indicate that effective pressure and membrane stiffness significantly affect the amplitude variation with offset characteristics of reflected seismic signatures, which emphasizes the significance of considering the effects of both in practical applications related to the observed seismic data. By comparing the modeled R/T coefficients to the results computed with laboratory measured velocities, we preliminarily confirm the validity of our equations. Our equations and results are relevant to hydrocarbon exploration, in situ pressure detection and geofluid discrimination in high-pressure fields.

The October effect is known as a rapid and strong decrease in the signal amplitude of radio waves with very low frequency (VLF), reflected at the lowest edge of the ionosphere. This strong decrease can be observed only during the daytime. Although the October effect is long known, it is hardly investigated and its mechanism is still unknown. To get closer to a mechanism, we answer why the October effect does not occur during nighttime. Therefore, average characteristics of the October effect are obtained from different VLF transmitter‐receiver combinations. The occurrence of the October effect is then compared with characteristics of the neutral atmosphere temperature at VLF reflection heights as it seems to act as a proxy for the unknown mechanism. The temperature shows an asymmetric seasonal behavior at daytime VLF reflection heights poleward of 50°N but not during the nighttime, resulting in the October effect. Plain Language Summary The October effect is known as a rapid and strong decrease in the signal amplitude of radio waves with very low frequency, reflected at the lowest edge of the ionosphere (60–90 km). This strong decrease can be observed only during the daytime. Although the October effect has been long known, it is hardly investigated and its mechanism is still unknown. To get one step closer to a mechanism, we want to answer the question of why the October effect does not occur during nighttime. There are two main reasons why the October effect does not occur during nighttime. First, the radio wave reflection height is at around 70 km during daytime and at 85 km during nighttime. The second is the different behavior of the temperature at these two altitudes. While the temperature follows the seasonal cycle of the sun at 85 km, it shows an asymmetric behavior between spring and autumn at 70 km. This unexpected behavior of the temperature at 70 km leads to the October effect during the daytime only. Key Points Strong and rapid decrease in VLF amplitude in October Spring‐fall asymmetry in VLF amplitude and lower mesospheric temperature Asymmetry only at daytime VLF reflection height

Shock wave interaction with solid wedges has been an area of much research in past decades, but so far very few results have been obtained for shock wave reflection off liquid wedges. In this study, numerical simulations are performed using the inviscid Euler equations and the stiffened gas equation of state to study the transition angles, reflection patterns and triple point trajectory angles of shock reflection off solid and water wedges. Experiments using an inclined shock tube are also performed and schlieren photography results are compared to simulations. Results show that the transition angles for the water wedge cases are within 5.3 % and 9.2 %, for simulations and experiments respectively, compared to results obtained with the theoretical detachment criterion for solid surfaces. Triple point trajectory angles are measured and compared with analytic solutions, agreement within $1.3^{\\circ }$ is shown for the water wedge cases. The transmitted wave in the water observed in the simulation is quantitatively studied, and two different scenarios are found. For low incident shock Mach numbers, $M_{s}=1.2$ and 2, no shock wave is formed in the water but a precursor wave is induced ahead of the incident shock wave and passes the information from the water back into the air. For high incident shock Mach numbers, $M_{s}=3$ and 4, precursor waves no longer appear but instead a shock wave is formed in the water and attached to the Mach stem at every instant. The temperature field in the water is measured in the simulation. For strong incident shock waves, e.g. $M_{s}=4$ , the temperature increment in the water is up to 7.3 K.

Shock-wave reflection over concave surfaces poses a difficulty in its analysis due to the unsteady nature of the reflection process and the occurrence of various types of Mach reflections caused by it. In a pseudo-steady flow, the reflection's configuration is self-similar since the shock wave reflects over a surface with constant inclination. The unsteady Mach reflection introduces an additional complexity as it is affected by the changing inclination of the surface, forcing the reflection to continuously adjust itself to the varying boundary condition. In this study, validated simulations of Mach reflection (MR) over cylindrical concave surfaces with different radii were performed for three inviscid perfect gases with moderate incident shock Mach numbers (Ms) ranging from 1.3 to 1.5. The reflection was investigated up to the point of transition from MR to transitioned regular reflection. A similar behaviour of the configuration and evolution of the Mach stem was observed, one that is independent of the surface radius and type of gas. With regards to different gases, the speed of sound a0 is a dominant factor since it dictates the propagation of wall disturbances. A universal condition of the rate of surface change was found, accounting for different radii, different gases and Ms variation. Analysis based on shock dynamics is employed to explain how disturbances caused by surface variations play a significant role in the behaviour of the reflection. This method successfully supports the similarity that was demonstrated and facilitates a more informed perception of the MR process.

Hydroelastic responses of floating elastic surfaces to incident nonlinear waves of solitary and cnoidal type are studied. There are N number of the deformable surfaces, and these are represented by thin elastic plates of variable properties and different sizes and rigidity. The coupled motion of the elastic surfaces and the fluid are solved simultaneously within the framework of linear beam theory for the structures and the nonlinear Level I Green–Naghdi theory for the fluid. The water surface elevation, deformations of the elastic surfaces, velocity and pressure fields, wave reflection and transmission coefficients are calculated and presented. Results of the model are compared with existing laboratory measurements and other numerical solutions. In the absence of any restriction on the nonlinearity of the wave field, number of surfaces, their sizes and rigidities, a wide range of wave–structure conditions are considered. It is found that wave reflection from an elastic surface changes significantly with the rigidity, and the highest reflection is observed when the plate is rigid (not elastic). It is also found that due to the wave–structure interaction, local wave fields with different length and celerity are formed under the plates. In the case of multiple floating surfaces, it is observed that the spacing between plates has more significant effect on the wave field than their lengths. Also, the presence of relatively smaller floating plates upwave modifies remarkably the deformation and response of the downwave floating surface.

The asymmetrical Mach reflection configuration is studied analytically in this paper, using an asymmetrical model extended from a recent symmetrical model and accounting for the new features related to asymmetry of the two wedges. It is found that the two sliplines do not turn parallel to the incoming flow at the same horizontal location and the sonic throat locates at the position where the difference of slopes of the two sliplines vanishes. This allows us to define a new sonic throat compatibility condition essential to determine the size of the Mach stem. The present model gives the height of the Mach stem, declined angle of the Mach stem from vertical axis, sonic throat location and shape of all shock waves and sliplines. The accuracy of the model is checked by computational fluid dynamics (CFD) simulation. It is found that the Mach stem height is strongly dependent on asymmetry of the wedge angles and almost linearly dependent on the asymmetry of the wedge lower surface lengths. The Mach stem height is shown to be insensitive to the asymmetry of the horizontal positions of the two wedges. The mechanisms for these observations are explained. For instance, it is demonstrated that the Mach reflection configuration remains closely similar when there is horizontal shift of either wedge.

This study was performed to determine whether prolonged endurance running results in acute endothelial dysfunction and wave‐reflection, as endothelial dysfunction and arterial stiffness are cardiovascular risk factors. Vascular function (conduit artery/macrovascular and resistance artery/microvascular) was assessed in 11 experienced runners (8 males, 3 females) before, during and after a 50 km ultramarathon. Blood pressure (BP), heart rate (HR), wave reflection, augmentation index (AIx) and AIx corrected for HR (AIx75) were taken at all time points—Baseline (BL), following 10, 20, 30 and 40 km, 1 h post‐completion (1HP) and 24 h post‐completion (24HP). Flow‐mediated dilatation (FMD) and inflammatory biomarkers were examined at BL, 1HP and 24HP. Reactive hyperaemia area under the curve (AUC) and shear rate AUC to peak dilatation were lower (∼75%) at 1HP compared with BL (P < 0.001 for both) and reactive hyperaemia was higher at 24HP (∼27%) compared with BL (P = 0.018). Compared to BL, both mean central systolic BP and mean central diastolic BP were 7% and 10% higher, respectively, following 10 km and 6% and 9% higher, respectively, following 20 km, and then decreased by 5% and 8%, respectively, at 24HP (P < 0.05 for all). AIx (%) decreased following 20 km and following 40 km compared with BL (P < 0.05 for both) but increased following 40 km when corrected for HR (AIx75) compared with BL (P = 0.02). Forward wave amplitude significantly increased at 10 km (15%) compared with BL (P = 0.049), whereas backward wave reflection and reflected magnitude were similar at all time points. FMD and baseline diameter remained similar. These data indicate preservation of macrovascular (endothelial) function, but not microvascular function resulting from the 50 km ultramarathon. What is the central question of this study? What are the acute effects of prolonged distance running (50 km race) on endothelial function, wave reflection and inflammation both during a distance race and within 24 h after completion of the race? What is the main finding and its importance? Even though macrovascular function remains unchanged after a 50 km ultramarathon, microvascular function is attenuated. However, the microvascular changes lasted less than 24 h post‐race suggesting the ultramarathon distance of 50 km has relatively short‐term effects in trained individuals.

The elastic properties of subsurface rocks are almost always stress-dependent, which is usually attributed to stress-sensitive microcracks. Incorporating the effect of stress on microcrack compliance, we use a novel PP-wave reflection coefficient to implement azimuthal amplitude inversion in an anisotropic media induced by horizontal uniaxial stress. Firstly, we assume the initial unstressed media is elastic and isotropic, and possesses a dual-porosity system with stress-insensitive background and randomly distributed and randomly orientated microcracks. When such the media is subjected to horizontal uniaxial stress, normal and tangential compliances of microcracks decrease depending on their orientation with respect to the applied stress. A corresponding stress-induced anisotropy model is proposed, and then utilized to construct the effective elastic stiffness tensor of the uniaxial-stress-induced anisotropic media under the assumption of weak anisotropy. Two stress-induced anisotropy parameters (SIAPs), defined as the combination of elastic modulus, microcrack normal/tangential compliance and horizontal uniaxial stress, are introduced to quantify the magnitude of stress-induced normal and tangential anisotropy, respectively. Existing laboratory data of an uniaxially stressed rock sample illustrate that the effective elastic stiffness tensor possesses satisfactory accuracy. Subsequently, combining the perturbation of the stiffness tensor and the scattering theory, a linearized PP-wave reflection coefficient is established in terms of P-wave modulus, shear modulus, density and SIAPs. The effect of stress on seismic response characteristics is thoroughly analyzed. Finally, based on the azimuthal amplitude difference inversion method with the Cauchy-sparse and low-frequency prior regularization, the SIAPs are estimated form azimuthal seismic data. The inverted SIAPs are then used as inputs to estimate the remaining isotropic parameters. Numerical experiments and field data are used to illustrate the feasibility of the inversion method.

The slotted cartridge is able to generate strong directional penetration. To study the effect of different structures of slotted cartridges on the propagation characteristics of shock waves and explosive products, the high-speed schlieren photography system and pressure testing system were used to conduct experimental investigations based on five different structures of slotted cartridges. Experimental results show that shock waves and explosive products preferentially propagate outward from the slit and the propagation process is highly symmetrical. The peak overpressure generated by the three-seam slotted cartridge is 1.4 MPa, which is much greater than that of other design schemes. Besides, the greatest propagation velocities of shock waves and explosive products were achieved for the three-seam slotted cartridge. The disturbance of adjacent shock waves generates jet-like explosive products in front of the shock waves. Numerical simulations reveal that there are two rising phases of overpressure at the slotted position, which is mainly caused by air disturbance in the slit and shock wave reflection in the slotted tube. The three-seam slotted cartridge achieves the maximum overpressure of 225 MPa at the slotted position. When the shock waves and explosive products propagate outward the slotted cartridge with large internal incision, the overpressure and velocities of shock waves and explosive products gradually increase with decrease in the cross-sectional area of the slotted tube.

The present study aims to investigate the reflection and refraction of a curved shock front as it slides along an air–water interface, using the time-resolved shadowgraph technique. The curved shock front is generated from a free-piston shock tube. The study successfully captured the propagation of a refracted shock wave in water along with that of the reflected shock wave in the air. The refracted shock moves much faster than the incident shock due to a higher acoustic speed in the water. It is seen that the reflected shock initially exhibits a regular reflection (RR), which then transitions to a Mach reflection (MR) as it propagates along the interface. As the shock wave propagates along the air–water interface, the incident shock wave angle with the interface keeps on increasing, leading to RR–MR transition. Shock polar analysis shows that as the Mach reflection structure propagates further along the interface, it transitions from a standard Mach reflection to a non-standard Mach reflection. It is seen that the distance the shock wave propagates along the interface before it transitions from RR to MR increases with the increase in the interface distance (distance between the water surface and the shock tube axis). It is also found that the reflection surface (water or solid) does not seem to have a significant effect on the shock transition criterion, especially the distance at which the shock wave transitions from RR to MR.