• 자원환경지질
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• 제27권6호
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• pp.557-561
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• 1994

Quality factor Q 값은 처음 도착(倒着)한 P파(波)의 주기당(週期當) 에너지 손실(損失)을 주파수(周波數)의 함수(函數)로 직접(直接) 측정(測定)할 수 있다. 이때 관심(關心)의 대상(對象)이 되는 주파수대(周波數帶)(주로 1-100 Hz)내(內)에서 고유(固有) Q는 주파수(周波數)와 무관(無關)하고, 산란(散亂) Q는 주파수(周波數)와 밀접(密接)한 관계(關係)가 있다는 가정하(假定下)에 고유(固有) Q값과 산란(散亂) Q값의 전체(全體) Q값에 대(對)한 상대적(相對的)인 비솔(比率)을 계산(計算)할 수 있다. 이에 대(對)한 검증(檢證)은 탄성파(彈性波)가 점탄성(粘彈性)이고 부균질(不均質)한 매질(媒質)을 통과(通過)할 때의 합성탄성파(合成彈性波) 기록지(記錄紙)를 만들고 고유(固有) Q에 대(對)해서는 완화기구(緩和機具)(relaxation mechanism)가, 산란(散亂) Q에 대(對)해서는 산란(散亂)(satter)에 대(對)한 fractal 분포(分布)가 포함(包含)되는 pseudospectral 해(解)를 이용(利用)하여 실시(實施)될 수 있다. 대체로 S파(波)의 전체(全體) Q값이 P파(波)의 전체(全體) Q값보다 더 작다는 것이 정설(定說)로 되어있다. 역(逆)으로, 전체(全體) Q값은 합성탄성파(合成彈性波) 기록지(記錄紙)로 부터 최소자승법(最小自乘法)을 이용(利用)하여 구(求)할 수 있다. 이때 가정(假定)된 Q값의 절대값이 충분(充分)히 작아야만 P파(波)와 S파(波)의 고유(固有) Q값($Q_p$와 $Q_s$)의 가정(假定)은 신빙성(信憑性)이 높고 또한 유일(唯一)한 값을 가질 수 있다. 산란(散亂) Q값으로 부터 결정(決定)할 수 있는 매질(媒質)의 속도(速度)와 산란(散亂)의 크기에 대(對)한 표준편차(標准偏差)는 Blair의 수식(數式)에서 예측(豫測)할 수 있듯이 서로 상호보완관계(相互補完關係)에 있기 때문에 여러가지의 값을 가질 수 있다. 본(本) 연구결과에 의(依)하면, P파(波)에 있어서는 고유(固有) Q와 산란(散亂) Q가 모두 중요(重要)한 요소(要素)로 작용(作用)하며, S파(波)에 있어서는 고유(固有) Q가 산란(散亂) Q보다 더 중요(重要)한 요소(要素)로 작용(作用)한다.

• 한국막학회:학술대회논문집
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• 한국막학회 1999년도 The 7th Summer Workshop of the Membrane Society of Korea
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• pp.39-42
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• 1999

Perfluoropolymers represent the ultimate resistance to hostile chemical environments and high service temperature, attributed to the presence of fluorine in the polymer backbone, i.e. to the high bond energy of C-F and C-C bonds of fluorocarbons. Copolymers of Tetrafluoroethylene (TEE) and 2, 2, 4Trifluoro-5Trifluorometoxy- 1, 3Dioxole (TTD), commercially known as HYFLON AD, are amorphous perfluoropolymers with glass transition temperature (Tg)higher than room temperature, showing a thermal decomposition temperature exceeding 40$0^{\circ}C$. These polymer systems are highly soluble in fluorinated solvents, with low solution viscosities. This property allows the preparation of self-supported and composite membranes with desired membrane thickness. Symmetric and asymmetric perfluoropolymer membranes, made with HYFLON AD, have been prepared and evaluated. Porous and not porous symmetric membranes have been obtained by solvent evaporation with various processing conditions. Asymmetric membranes have been prepared by th wet phase inversion method. Measure of contact angle to distilled water have been carried out. Figure 1 compares experimental results with those of other commercial membranes. Contact angles of about 120$^{\circ}$for our amorphous perfluoropolymer membranes demonstrate that they posses a high hydrophobic character. Measure of contact angles to hexandecane have been also carried out to evaluate the organophobic character. Rsults are reported in Figure 2. The observed strong organophobicity leads to excellent fouling resistance and inertness. Porous membranes with pore size between 30 and 80 nanometers have shown no permeation to water at pressures as high as 10 bars. However high permeation to gases, such as O2, N2 and CO2, and no selectivities were observed. Considering the porous structure of the membrane, this behavior was expected. In consideration of the above properties, possible useful uses in th field of gas- liquid separations are envisaged for these membranes. A particularly promising application is in the field of membrane contactors, equipments in which membranes are used to improve mass transfer coefficients in respect to traditional extraction and absorption processes. Gas permeation properties have been evaluated for asymmetric membranes and composite symmetric ones. Experimental permselectivity values, obtained at different pressure differences, to various single gases are reported in Tab. 1, 2 and 3. Experimental data have been compared with literature data obtained with membranes made with different amorphous perfluoropolymer systems, such as copolymers of Perfluoro2, 2dimethyl dioxole (PDD) and Tetrafluorethylene, commercialized by the Du Pont Company with the trade name of Teflon AF. An interesting linear relationship between permeability and the glass transition temperature of the polymer constituting the membrane has been observed. Results are descussed in terms of polymer chain structure, which affects the presence of voids at molecular scale and their size distribution. Molecular Dyanmics studies are in progress in order to support the understanding of these results. A modified Theodoru- Suter method provided by the Amorphous Cell module of InsightII/Discover was used to determine the chain packing. A completely amorphous polymer box of about 3.5 nm was considered. Last but not least the use of amorphous perfluoropolymer membranes appears to be ideal when separation processes have to be performed in hostile environments, i.e. high temperatures and aggressive non-aqueous media, such as chemicals and solvents. In these cases Hyflon AD membranes can exploit the outstanding resistance of perfluoropolymers.