Scale-invariance Properties in Seismicity of Southern Apennine Chain (Italy)

2000 ◽  
pp. 589-601
Author(s):  
V. Lapenna ◽  
M. Macchiato ◽  
S. Piscitelli ◽  
L. Telesca
Keyword(s):  
Scale Invariance ◽  
Invariance Properties ◽  
Apennine Chain

Scale-invariance Properties in Seismicity of Southern Apennine Chain (Italy)

2000 ◽  
Vol 157 (4) ◽  
pp. 589-601 ◽  
Author(s):  
V. Lapenna ◽  
M. Macchiato ◽  
S. Piscitelli ◽  
L. Telesca
Keyword(s):  
Scale Invariance ◽  
Invariance Properties ◽  
Apennine Chain

scholarly journals Multifractal analysis of radar rainfall fields over the area of Rome

2005 ◽  
Vol 2 ◽  
pp. 293-299 ◽  
Author(s):  
G. Calenda ◽  
E. Gorgucci ◽  
F. Napolitano ◽  
A. Novella ◽  
E. Volpi
Keyword(s):  
Scale Invariance ◽  
Large Scale ◽  
Doppler Radar ◽  
Risk Mitigation ◽  
Small Scale ◽  
Radar Rainfall ◽  
Invariance Properties ◽  
Meteorological Radar ◽  
Using Data ◽  
Precipitation Events

Abstract. A scale-invariance analysis of space and time rainfall events monitored by meteorological radar over the area of Rome (Italy) is proposed. The study of the scale-invariance properties of intense precipitation storms, particularly important in flood forecast and risk mitigation, allows to transfer rainfall information from the large scale predictive meteorological models to the small scale hydrological rainfall-runoff models. Precipitation events are monitored using data collected by the polarimetric Doppler radar Polar 55C (ISAC-CNR), located 15 km Southeast from downtown. The meteorological radar provides the estimates of rainfall intensity over an area of about 10 000 km2 at a resolution of 2×2 km2 in space and 5 min in time. Many precipitation events have been observed from autumn 2001 up to now. A scale-invariance analysis is performed on some of these events with the aim at exploring the multifractal properties and at understanding their dependence on the meteorological large-scale conditions.

scholarly journals Oscillations in critical shearing, application to fractures in glaciers

2006 ◽  
Vol 13 (6) ◽  
pp. 681-693 ◽  
Author(s):  
A. Pralong
Keyword(s):  
Power Law ◽  
Fracture Zone ◽  
Scale Invariance ◽  
Damage Model ◽  
Periodic Oscillation ◽  
Continuum Damage ◽  
Critical Systems ◽  
Periodic Oscillations ◽  
Invariance Properties ◽  
Discrete Scale

Abstract. Many evidences of oscillations accompanying the acceleration of critical systems have been reported. These oscillations are usually related to discrete scale invariance properties of the systems and exhibit a logarithmic periodicity. In this paper we propose another explanation for these oscillations in the case of shearing fracture. Using a continuum damage model, we show that oscillations emerge from the anisotropic properties of the cracks in the shearing fracture zone. These oscillations no longer exhibit a logarithmic but rather a power-law periodicity. The power-periodic oscillation is a more general formulation. Its reduces to a log-periodic oscillation when the exponent of the power-law equals one. We apply this model to fit the measured displacements of unstable ice masses of hanging glaciers for which data are available. Results show that power-periodic oscillations adequately fit the observations.

scholarly journals Fracture Surfaces of Porous Materials

10.14311/1376 ◽  
2011 ◽  
Vol 51 (3) ◽  
Author(s):  
T. Ficker
Keyword(s):  
Porous Materials ◽  
Scale Invariance ◽  
Three Dimensional ◽  
Analytical Form ◽  
Cement Pastes ◽  
Linear Character ◽  
Fracture Surfaces ◽  
Invariance Properties ◽  
Profile Parameter ◽  
Surface Irregularities

A three-dimensional absolute profile parameter was used to characterize the height irregularities of the fracture surfaces of cement pastes. The dependence of these irregularities on porosity was studied and its non-linear character was proved. An analytical form for the detected non-linearity was suggested and then experimentally tested. The surface irregularities manifest scale-invariance properties.

Scale invariance properties of the peak of the width function in topologically random networks

1998 ◽  
Vol 34 (6) ◽  
pp. 1571-1583 ◽  
Author(s):  
Carmelo Agnese ◽  
Antonio Criminisi ◽  
Francesco D'Asaro
Keyword(s):  
Scale Invariance ◽  
Random Networks ◽  
Invariance Properties ◽  
Width Function

scholarly journals Closing the Loop of Satellite Soil Moisture Estimation via Scale Invariance of Hydrologic Simulations

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Giuseppe Mascaro ◽  
Ara Ko ◽  
Enrique R. Vivoni
Keyword(s):  
Soil Moisture ◽  
Scale Invariance ◽  
Surface Soil ◽  
Agricultural Practices ◽  
Extreme Weather Events ◽  
Surface Soil Moisture ◽  
Scale Invariant ◽  
Invariance Properties ◽  
Terrestrial Water ◽  
Properties Of Soil

Abstract Surface soil moisture plays a crucial role on the terrestrial water, energy, and carbon cycles. Characterizing its variability in space and time is critical to increase our capability to forecast extreme weather events, manage water resources, and optimize agricultural practices. Global estimates of surface soil moisture are provided by satellite sensors, but at coarse spatial resolutions. Here, we show that the resolution of satellite soil moisture products can be increased to scales representative of ground measurements by reproducing the scale invariance properties of soil moisture derived from hydrologic simulations at hyperresolutions of less than 100 m. Specifically, we find that surface soil moisture is scale invariant over regimes extending from a satellite footprint to 100 m. We use this evidence to calibrate a statistical downscaling algorithm that reproduces the scale invariance properties of soil moisture and test the approach against 1-km aircraft remote sensing products and through comparisons of downscaled satellite products to ground observations. We demonstrate that hyperresolution hydrologic models can close the loop of satellite soil moisture downscaling for local applications such as agricultural irrigation, flood event prediction, and drought and fire management.

scholarly journals Quantifying and containing the curse of high resolution coronal imaging

2008 ◽  
Vol 26 (10) ◽  
pp. 3169-3184 ◽  
Author(s):  
V. Delouille ◽  
P. Chainais ◽  
J.-F. Hochedez
Keyword(s):  
High Resolution ◽  
Scale Invariance ◽  
Angular Resolution ◽  
Signal To Noise Ratio ◽  
Effective Area ◽  
The Sun ◽  
Scientific Success ◽  
Quiet Sun ◽  
Invariance Properties ◽  
High Resolution Images

Abstract. Future missions such as Solar Orbiter (SO), InterHelioprobe, or Solar Probe aim at approaching the Sun closer than ever before, with on board some high resolution imagers (HRI) having a subsecond cadence and a pixel area of about (80 km)2 at the Sun during perihelion. In order to guarantee their scientific success, it is necessary to evaluate if the photon counts available at these resolution and cadence will provide a sufficient signal-to-noise ratio (SNR). For example, if the inhomogeneities in the Quiet Sun emission prevail at higher resolution, one may hope to locally have more photon counts than in the case of a uniform source. It is relevant to quantify how inhomogeneous the quiet corona will be for a pixel pitch that is about 20 times smaller than in the case of SoHO/EIT, and 5 times smaller than TRACE. We perform a first step in this direction by analyzing and characterizing the spatial intermittency of Quiet Sun images thanks to a multifractal analysis. We identify the parameters that specify the scale-invariance behavior. This identification allows next to select a family of multifractal processes, namely the Compound Poisson Cascades, that can synthesize artificial images having some of the scale-invariance properties observed on the recorded images. The prevalence of self-similarity in Quiet Sun coronal images makes it relevant to study the ratio between the SNR present at SoHO/EIT images and in coarsened images. SoHO/EIT images thus play the role of "high resolution" images, whereas the "low-resolution" coarsened images are rebinned so as to simulate a smaller angular resolution and/or a larger distance to the Sun. For a fixed difference in angular resolution and in Spacecraft-Sun distance, we determine the proportion of pixels having a SNR preserved at high resolution given a particular increase in effective area. If scale-invariance continues to prevail at smaller scales, the conclusion reached with SoHO/EIT images can be transposed to the situation where the resolution is increased from SoHO/EIT to SO/HRI resolution at perihelion.

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