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EN
The rock mechanical properties influence the selection of drilling parameters, optimized drilling trajectory, and appropriate hydraulic fracturing intervals. Estimating the 3-D spatial distribution of these geomechanical properties at the reservoir scale is a challenging task, especially in the case of limited data only at the well locations. Advanced geostatistical techniques can be utilized to represent a reservoir’s inherent spatial variation more realistically. In this study, we investigate the spatial variability of rock mechanical properties, including Young’s modulus, shear modulus, bulk modulus, and Poisson’s ratio, as major constituents of the reservoir geomechanical model. The data are extracted from a hydrocarbon field located southwest of Iran and consist of forty wells. We first build a 1-D model of rock elastic moduli at each well by integrating petrophysical and core-based laboratory measurements and then develop a corresponding 3-D model using geostatistical simulation techniques. Thereafter, 3-D seismic data are employed to optimize the geomechanical model. Results show that the integration of well logs with seismic data increases the accuracy of field-wise 3-D elastic moduli models. Furthermore, we used various co-simulation techniques to demonstrate the improving effect of complementary data in constructing a more realistic reservoir geomechanical model.
EN
Seismic signal can be expressed by nonstationary convolution model (NCM) which integrates acoustic impedance (AI), attenuation factor (AF) and source wavelet (SW) into a single formula. Although it provides attractive potential to invert AI, AF and SW, simultaneously, efective joint inversion algorithm has not been developed because of the extreme instability of this nonlinear inverse problem. In this paper, we propose an alternating optimization scheme to achieve this nonlinear joint inversion. Our algorithm repeatedly alternates among three subproblems corresponding to AI, AF and SW recovery until changes in inverted models become smaller than the user-defned tolerances. Also, when we optimize one parameter, other two parameters are fxed. NCM is an explicit linear formula for AI; therefore, AI recovery is accomplished by linear inver sion which is regularized by low-frequency model and isotropy total variation domain sparse constraints. However, NCM is a complicated nonlinear formula for AF. To facilitate the AF inversion, we propose a centroid frequency-based attenuation tomography method whose forward operator and observations are acquired from the time-varying wavelet amplitude spectra which is estimated according to Gabor domain factorization of NCM. SW is decoupled from NCM based on Toeplitz structure constraint, and we obtain an orthogonal wavelet transform domain sparse regularized SW inverse subproblem. Split Bregman technique is adopted to optimize AI and SW inverse subproblems. Numerical test and feld data application confrm that the proposed nonstationary seismic inversion algorithm can stably generate accurate estimates of AI, AF and SW, simultaneously.
EN
One major problem in the design of ultrasonic transducers results from a huge impedance mismatch between piezoelectric ceramics and the loading medium (e.g. gaseous, liquid, and biological media). Solving this problem requires the use of a matching layer (or layers). Optimal selection of materials functioning as matching layers for piezoelectric transducers used in transmitting and receiving ultrasound waves strictly depends on the type of the medium receiving the ultrasound energy. Several methods allow optimal selection of materials used as matching layers. When using a single matching layer, its impedance can be calculated on the basis of the Chebyshev, DeSilets or Souquet criteria. In the general case, the typically applied methods use an analogy to a transmission line in order to calculate the transmission coefficient T. This paper presents an extension of transmission coefficient calculations with additional regard to the attenuation coefficients of particular layers. The transmission coefficient T is optimised on the basis of a genetic algorithm method. The obtained results indicate a significant divergence between the classical calculation methods and the genetic algorithm method.
4
Content available Research of acoustical impedance of human skin
EN
This paper presents the methodology of measuring acoustic impedance of human skin and discusses the results of the tests. Measurement of the acoustic impedance of human skin is a complex issue. The most difficult thing is related to the nature of the object of research. Cooperation of volunteer participating in the experiment is crucial in collecting accurate data. Appropriate measuring conditions must be provided because of the length of time required to conduct measurement. The Kundt tube method has been used as a research technique applied for evaluation of the material impedance. It was assumed that the results would differ with regard to different points chosen for measurement, located on the body of volunteer as well as with regard to the features of the skin structure of the volunteers participating in this experiment. Results have revealed that for different people similar parameters have been obtained. Moreover, results are alike for various measured points localized on person’s body.
EN
An emerging ultrasonic technology aims to control high-pressure industrial processes that use liquids at pressures up to 800 MPa. To control these processes it is necessary to know precisely physicochemical properties of the processed liquid (e.g., Camelina sativa oil) in the high-pressure range. In recent years, Camelina sativa oil gained a significant interest in food and biofuel industries. Unfortunately, only a very few data characterizing the high-pressure behavior of Camelina sativa oil is available. The aim of this paper is to investigate high pressure physicochemical properties of liquids on the example of Camelina sativa oil, using efficient ultrasonic techniques, i.e., speed of sound measurements supported by paralel measurements of density. It is worth noting that conventional low-pressure methods of measuring physicochemical properties of liquids fail at high pressures. The time of flight (TOF) between the two selected ultrasonic impulses was evaluated with a cross-correlation method. TOF measurements enabled for determination of the speed of sound with very high precision (of the order of picoseconds). Ultrasonic velocity and density measurements were performed for pressures 0.1-660 MPa, and temperatures 3-30°C. Isotherms of acoustic impedance Za, surface tension σ and thermal conductivity k were subsequently evaluated. These physicochemical parameters of Camelina sativa oil are mainly influenced by changes in the pressure p, i.e., they increase about two times when the pressure increases from atmospheric pressure (0.1 MPa) to 660 MPa at 30°C. The results obtained in this study are novel and can be applied in food, and chemical industries.
PL
W artykule została zaprezentowana metodyka wyznaczania rozkładu parametru TOC na danych sejsmicznych 3D na podstawie inwersji genetycznej. Zaprezentowany schemat obliczeń zastosowano na danych sejsmicznych pochodzących z obszaru północnej Polski. Głównym celem przeprowadzonych badań było rozpoznanie dwóch, wyinterpretowanych horyzontów sejsmicznych (z których pierwszy odpowiadał powierzchni stropowej ogniwa Jantaru, a drugi stropowi formacji z Sasina), pod kątem wyznaczenia stref potencjalnych sweet spotów. Wyinterpretowany rozkład parametrów fizycznych takich jak: prędkość i gęstość, oraz parametrów petrofizycznych takich jak: porowatość, nasycenie, a także TOC w obrębie kolejnych sekwencji skalnych, ma ścisły związek z parametrami sejsmicznymi, takimi jak czasy przejścia fal odbitych od poszczególnych granic sejsmicznych oraz ich charakterystyk amplitudowych i częstotliwościowych [1, 8]. Zaprezentowana metodyka wyznaczania rozkładu parametru TOC była realizowana na podstawie zmienności amplitud pola falowego, pola prędkości fal podłużnych oraz pomiarów labolatoryjnych TOC w otworach wiertniczych. Uzyskane wyniki w postaci map i rozkładów przestrzennych pozwalają zidentyfikować obszary perspektywiczne o podwyższonych wartościach TOC, a ich dokładność uwarunkowana jest rozdzielczością danych sejsmicznych.
EN
The article presents the methodology for determining the distribution of TOC parameter on 3D seismic data, based on genetic inversion. The presented calculation scheme was applied on seismic data from the northern area of Poland. The main goal of the study was to recognize two seismic horizons (the first of which corresponded to the top surface of the Jantar Member and the second to the top of the Sasino Formation), in terms of designating the zones of potential sweet spots. The interpreted distribution of physical parameters such as: velocity and density and petrophysical parameters, such as: porosity, saturation and TOC within successive rock sequences, is closely related to seismic parameters, such as transition times of waves reflected from individual seismic boundaries and their amplitude characteristics and frequency [1, 8]. The presented methodology for determining the distribution of the TOC parameter, was based on the variability of the wave field amplitudes, the field of longitudinal wave velocities and laboratory TOC measurements in wellbores. Obtained results in the form of maps and spatial distributions allow to identify perspective areas with increased TOC values, and their accuracy is conditioned by the resolution of seismic data.
EN
A rigorous analysis of sound radiation by a pulsating sphere forming a resonator together with a semispherical cavity is presented. Both hard and soft boundaries are considered, as well as mixed. The problem is solved by dividing the entire region into two subregions, one surrounding the sphere and containing the cavity and the other for the remaining half-space. The continuity conditions are applied to obtain the acoustic pressure. Then the acoustic radiation resistance is calculated both in the near- and far-field. The acoustic radiation reactance is calculated in the impedance approach. The resonance frequencies are determined, for which a significant growth of the sound pressure level is observed as well as the sound field directivity. The accuracy and convergence of these rigorous results has been examined empirically.
EN
Acoustic inversion is useful to extract information from seismic data. Inhomogeneities of salt deposits should be predicted before the decision of underground storage location is made. The work concerns the possibility of detecting anhydrite intercalation in the rock salt from seismic dataset. The resolution strongly depends on signal to noise ratio. The synthetic pseudoacoustic impedance sections are generated for efficiency test of predictive and minimum entropy deconvolution process, when random noise distorts the seismic traces.
RU
V stat’e rassmatrivaetsa svojstva izolacii vozdusnogo zvuka ograzdauscich konstrukcij s ucetom volnovych, fiziko-mechaniceskich i strukturnych parametrov materiala zapolnenia vozdusnogo prostranstva mezdu naruznymi sloami iz poristo-voloknistych materialov i mineral’nogo volokna ISOVER.
EN
The article considers the insulation properties of air sound enclosure structures subject to wave, physico-mechanical and structural parameters of the material filling the air space between the outer layers of porous fibrous material and the mineral wool ISOVER.
EN
Most of underground hydrocarbon storage are located in depleted natural gas reservoirs. Seismic survey is the most economical source of detailed subsurface information. The inversion of seismic section for obtaining pseudoacoustic impedance section gives the possibility to extract detailed subsurface information. The seismic wavelet parameters and noise briefly influence the resolution. Low signal parameters, especially long signal duration time and the presence of noise decrease pseudoimpedance resolution. Drawing out from measurement or modelled seismic data approximation of distribution of acoustic pseuoimpedance leads us to visualisation and images useful to stratum homogeneity identification goal. In this paper, the improvement of geologic section image resolution by use of minimum entropy deconvolution method before inversion is applied. The author proposes context and adaptive transformation of images and edge detection methods as a way to increase the effectiveness of correct interpretation of simulated images. In the paper, the edge detection algorithms using Sobel, Prewitt, Robert, Canny operators as well as Laplacian of Gaussian method are emphasised. Wiener filtering of image transformation improving rock section structure interpretation pseudoimpedance matrix on proper acoustic pseudoimpedance value, corresponding to selected geologic stratum. The goal of the study is to develop applications of image transformation tools to inhomogeneity detection in salt deposits.
PL
Właściwości akustyczne pomieszczenia wynikają z jego geometrii, konfiguracji oraz właściwości akustycznych materiałów pokrywających wewnętrzne powierzchnie. Uktad ten ma decydujący wpływ na cechy pola akustycznego wytworzonego przez źródło dźwięku umieszczone w obszarze zamkniętym. Wykorzystanie teorii i eksperymentu pozwala na stworzenie wielu metod analizy cech pola akustycznego. W zakresie małych częstotliwości do opisu pola akustycznego w pomieszczeniach stosuje się model falowy oparty na rozwiązaniu równania falowego. Wzrastające możliwości równoległego pozyskiwania danych i skutecznego ich przetwarzania oraz zwiększenie zdolności obliczeniowych komputerów pozwoliły na zastosowanie metod inwersyjnych w dziedzinie wibroakustyki. Koncepcja stosowania metod inwersji w akustyce oparta jest na założeniu, że możliwe jest odtworzenie parametrów obszaru układu wibroakustycznego, jeśli znana jest funkcja przejścia lub model propagacji wiążący pole akustyczne z właściwościami akustycznymi brzegu obszaru. Celem badań była analiza właściwości akustycznych pomieszczeń typu przemysłowego z zastosowaniem metody inwersji. Szczególna uwaga została zwrócona na małe pomieszczenia przemysłowe i zjawiska akustyczne zachodzące w małych częstotliwościach.
EN
The acoustic properties of the room follow from its geometry, configuration and acoustic properties of materials covering its internal surfaces. This system has a decisive effect on the characteristics of the acoustic field produced by a source located in a closed area. Theoretical and experimental methods of analysis provide many features of the sound field. The wave model based on the solution of the wave equation has been used to describe the sound field in rooms in the low frequencies. The increasing possibility of parallel data acquisition and processing them effectively and increase the calculation capacity of computers made it possible to apply inversion methods in the field of vibroacoustics. The concept of inversion methods in acoustics is based on the fact that it is possible to restore the area of vibroacoustic parameters knowing the transfer function or binding propagation model of the sound field acoustic properties of the edge of the area. The aim of the study was to analyse the acoustic characteristics of the industrial type room using the method of inversion. Particular attention was paid to the small industrial premises and acoustic phenomena occurring in low frequencies.
EN
Interest to the seismic inversion among the specialists of oi1 and gas industry has grown lately. Taking into account, that the well logging methods are а basic information generator about а geological formations directly from the earth, in the article а question rises about the necessity of analysis of quality and proper preparation of well logging data as bases for а seismic inversion.
EN
The authors have made an attempt to construct a multi-channel data acquisition system for vibroacoustic signals, collected for analysis of acoustic field distributions in enclosed rooms and determination of surface acoustic impedance values at the wall surfaces. The scope of the study required a synchronic registration of acoustic pressure by 24 measurement microphones, determination of the phase-shift angles between the measured signals and determination of the vibration velocity for the loudspeaker diaphragm. The paper presents the first stage of the research, directly related to the multi-channel system for registration and analysis of vibroacoustic signals. The constructed research tools, due to their modular structure, can be adapted to new tasks, extended by adding new elements (further measurement cards, microphones, accelerometers etc.), what ensures greatflexibility and suitability of the system for realization of advanced acoustical measurements. Open source code and users request for specialized acoustic analyses make the developed software packages a highly prospective research tool both for today and tomorrow.
PL
Autorzy podjęli zadanie budowy wielokanałowego systemu akwizycji sygnałów wibroakustycznych na potrzeby analizy rozkładów pola akustycznego w pomieszczeniach i wyznaczania wartości impedancji akustycznej powierzchni ścian. Program badań wymagał synchronicznej rejestracji ciśnienia akustycznego przez 24 mikrofony pomiarowe, wyznaczenia kąta przesunięcia fazowego między mierzonymi sygnałami oraz wyznaczenia amplitudy prędkości drgań membrany głośnika. W pracy przedstawiony jest pierwszy etap badań bezpośrednio związany z wielokanałowym systemem rejestra­cji i analizy sygnałów wibroakustycznych. Zbudowano narzędzia, które dzięki modułowej strukturze mogą być dostoso­wywane do nowych zadań, rozszerzane o nowe elementy (kolejne karty pomiarowe, mikrofony, akcelerometry itp.), co stanowi o dużej przydatności powstałego systemu do zaawansowanych pomiarów akustycznych. Otwarty kod źródłowy oraz autorskie zapotrzebowanie na specjalistyczne analizy akustyczne tworzą z opracowanych pakietów programowych w pełni rozwojowe narzędzie badawcze na dziś i na przyszłość.
EN
The axisymmetric problem of acoustic impedance of a vibrating annular piston embedded into a flat rigid baffle concentrically around a semi-infinite rigid cylindrical circular baffle has been undertaken in this study. The Helmholtz equation has been solved. The Green’s function valid for the zone considered has been used for this purpose. The influence of the semi-infinite cylindrical baffle on the piston’s acoustic impedance has been investigated. The acoustic impedance has been presented in both forms: integral and asymptotic, both valid for the steady harmonic vibrations. Additionally, the acoustic impedances of the piston with and without the cylindrical baffle have been compared to one another. In the case without the cylindrical baffle some earlier results have been used.
EN
Several methods can be applied for analyses of the acoustic field in enclosed rooms namely: wave propagation, geometrical or statistical analysis. The paper presents problems related to application of the boundary elements method to modelling of acoustic field parameters. Experimental and numerical studies have been combined for evaluation of acoustic impedance of the material used for the walls of a model room. The experimental studies have been carried out by implementing a multichannel measuring system inside the constructed model of an industrial room. The measuring system allowed simultaneous measurements of the source parameters – the loudspeaker membrane vibration speed, the acoustic pressure values in reception points located inside the model space as well as phase shifts between signals registered in various reception points. The numerical modelling making use of the acoustic pressure values measured inside the analyzed space allowed determination of requested parameters of the surface at the space boundary.
EN
Sound field parameters are predicted with numerical methods in sound control systems, in acoustic designs of building and in sound field simulations. Those methods define the acoustic properties of surfaces, such as sound absorption coefficients or acoustic impedance, to determine boundary conditions. Several in situ measurement techniques were developed; one of them uses 2 microphones to measure direct and reflected sound over a planar test surface. Another approach is used in the inverse boundary elements method, in which estimating acoustic impedance of a surface is expressed as an inverse boundary problem. The boundary values can be found from multipoint sound pressure measurements in the interior of a room. This method can be applied to arbitrarily-shaped surfaces. This investigation is part of a research programme on using inverse methods in industrial room acoustics.
EN
A circular membrane excited asymmetricaly is vibrating and radiating acoustic waves into the quarter-space limited by two rigid baffles arranged perpendicularly to one another. These processes are time harmonic. The classical Neumann boundary value problem has been solved using the complete eigenfunctions system together with the corresponding coupling matrix and including the acoustic attenuation effect.
PL
Prezentowany referat stanowi studium porównawcze dwóch zaawansowanych koncepcji geostatystycznych wyznaczania stref nasyconych gazem w skałach czerwonego spągowca na Niżu Polski. W obu koncepcjach zakłada się, że prawdopodobieństwo nasycenia gazem tych skał wzrasta wraz ze spadkiem impedancji akustycznej, przy jednoczesnym wzroście porowatości i przy dostatecznie wysokiej korelacji obu zmiennych. Jedna z tych koncepcji to regresja liniowa wielowymiarowa każdej zmiennej względem odpowiednio dobranych atrybutów sejsmicznych, natomiast druga to sekwencyjna symulacja Gaussa z co-krigingiem (co-symulacja) ze średnią prędkością z inwersji sejsmicznej, jako parametrem sterującym rozkładem impedancji akustycznej. W wyniku przeprowadzonych analiz statystycznych dla rejonu Kórnik—Środa Wielkopolska wyznaczono rozkłady impedancji akustycznej i porowatości, i na ich podstawie określono przewidywane strefy nasycenia gazem.
EN
Presented paper is a comparative study of two advanced geostatistical concepts for determination of gas-saturated zones in Rotliegend rocks in the Polish Lowlands. In both concepts it is assumed that probability of gas saturation of reservoir rocks increases with the decrease of acoustic impedance values and with simultaneous increase of porosity and sufficiently high correlation of both variables. The first of presented concepts is a multidimensional linear regression of each variable against properly matched seismic attributes, and the second is a sequential Gaussian simulation with co-kriging exploiting average seismic inversion velocity as a secondary data. As a result of statistical analysis that had been carried out for Kórnik—Środa Wielkopolska area, distribution of acoustic impedance and porosity, as well as predicted areas of gas-saturation have been determined.
19
Content available remote Influence of phase correction on the acoustic impedance of circular planar sources
EN
In this work, the influence of velocity distribution phase correction on the acoustic impedance of a circular source located in an infinite baffle is analyzed. It has been observed that by turning back a velocity distribution phase by modifying the radiating surface shape in a special way, obtaining a more coherent acoustic radiation is possible. This problem has been analyzed during earlier investigations, with attention focused on the directivity of some acoustic sources [1]. The aim of this paper is to calculate the acoustic impedance which allows the examination of such a "phase correction" effect on the acoustic radiation of the considered sound sources. The result was achieved by numerical calculation with the use of Hankel representation of the acoustic impedance.
PL
Opór akustyczny jest jedną z podstawowych cech charakteryzujących własności fizyczne skał. Wszelkie zmiany typu litologiczno-facjalnego wpływają na zmiany jego wartości. Metoda inwersji sekcji sejsmicznych w celu otrzymania sekcji pseudoimpedancji akustycznej pozwala powiązać zmiany wartości oporu akustycznego ze zmianami litologiczno-facjalnymi. Artykuł zawiera propozycję i przykład wykorzystania modelowania syntetycznych sekcji pseudoimpedancji akustycznej. Prezentowane w artykule syntetyczne sekcje pseudoimpedancji akustycznej skonstruowane są dla danych z otworu Radlina. Algorytm obliczania tych sekcji oparty jest na ciągłym modelu ośrodka. Załączone syntetyczne sekcje pseudoimpedancji akustycznej obrazują jak gaz i jego infiltracja wzdłuż zrzutu uskoku są widoczne w wyniku takiej transformacji.
EN
Acoustic impedance is one of the basic factors characterizing physical features of rocks. A method of inversion of seismic section resulting in pseudo-acoustic impedance section gives the possibility to bind very closely the acoustic impedance changes with lithologic and facial changes in subsurface. The paper includes the proposition and example of application of synthetic pseudo-impedance acoustics section modeling the analysis of imaging gas deposit in real pseudo-impedance acoustic section. The synthetic pseudo-impedance acoustic sections presented in this paper, are constructed for the data from well RADLIN. Algorithm for calculation this section is based on continuous seismic earth model. The synthetic pseudo-impedance acoustic sections show how the gas and his infiltration along fault, can be visible on such transformation.
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