波函数法(Wave Based Method,WBM)是近年来发展的基于间接Trefftz理论的结构—声辐射中频问题的一种重要方法。WBM函数收敛的充要条件是分析域为凸域。为提高使用WBM理论的应用范围和应用效率,根据多层次模型,提出了补域概念用于解决凹...波函数法(Wave Based Method,WBM)是近年来发展的基于间接Trefftz理论的结构—声辐射中频问题的一种重要方法。WBM函数收敛的充要条件是分析域为凸域。为提高使用WBM理论的应用范围和应用效率,根据多层次模型,提出了补域概念用于解决凹域问题。最后,以一个周边简支矩形薄板为例进行验证数值,计算结果表明了方法准确性和有效性。展开更多
The subject of the work is to propose a series of papers about adaptive finite element methods based on optimal error control estimate. This paper is the third part in a series of papers on adaptive finite element met...The subject of the work is to propose a series of papers about adaptive finite element methods based on optimal error control estimate. This paper is the third part in a series of papers on adaptive finite element methods based on optimal error estimates for linear elliptic problems on the concave corner domains. In the preceding two papers (part 1:Adaptive finite element method based on optimal error estimate for linear elliptic problems on concave corner domain; part 2:Adaptive finite element method based on optimal error estimate for linear elliptic problems on nonconvex polygonal domains), we presented adaptive finite element methods based on the energy norm and the maximum norm. In this paper, an important result is presented and analyzed. The algorithm for error control in the energy norm and maximum norm in part 1 and part 2 in this series of papers is based on this result.展开更多
This paper is the third part in a series of papers on adaptive finite elementmethods based on optimal error estimates for linear elliptic problems on the concavecorner domains. In this paper, a result is obtained. The...This paper is the third part in a series of papers on adaptive finite elementmethods based on optimal error estimates for linear elliptic problems on the concavecorner domains. In this paper, a result is obtained. The algorithms for error controlboth in the energy norm and in the maximum norm presented in part 1 and part 2 ofthis series arc based on this result.展开更多
The oil-rich Damintun Depression is located in the Liaohe Basin, Northeast China, and was formed during the Paleogene. The major oil-producing strata in the depression are mudstone and shale. To explore the burial dia...The oil-rich Damintun Depression is located in the Liaohe Basin, Northeast China, and was formed during the Paleogene. The major oil-producing strata in the depression are mudstone and shale. To explore the burial diagenetic history of the basin and the formation thresholds of hydrocarbons, the characters of the kaolinite subgroup minerals and mixed-layer illite/smectite in the mudstone and the shale are studied by using X-ray diffraction, electron probe, scanning electron microscope, and Fourier infrared spectrum. The kaolinite subgroup consists of kaolinite and halloysite. The kaolinite is flake-like or vermiform-like. The halloysite is in long tubular shape and its length is related to its iron content. A longer tube has lower iron content. The crystallinity of kaolinite is 0.40 ~20, and its degree of order increases from 0.03 to 1.17 with the burial depth. Kaolinite is in disorder when the buried depth is less than or equal to 2479 m, and it is partially ordered when the buried depth is greater than 2479 m. Kaolinite is supposed to turn into dickite when the depth is greater than 2550 m, but low penetrability and low poros- ity of the shale and mudstone prevent such a change. The mixed-layer illite/smectite changes from disorder to order continually as the buried depth increases. Its disorder （RoI/S）, as defined by illite layer content （I%）, is smaller than 50% at depths less than 2550.25 m. Based on Hoffman ＆ Hower＇s model, the paleo-geothermal gradients of 3.37-3.76℃/100 m （3.57℃/100 m on average） can be derived in the Paleocene Damintun Depression, which is significantly higher than the present geothermal gradient （2.9℃00 m）. The threshold depth of the oil formation in the depression is about 2550 m.展开更多
文摘波函数法(Wave Based Method,WBM)是近年来发展的基于间接Trefftz理论的结构—声辐射中频问题的一种重要方法。WBM函数收敛的充要条件是分析域为凸域。为提高使用WBM理论的应用范围和应用效率,根据多层次模型,提出了补域概念用于解决凹域问题。最后,以一个周边简支矩形薄板为例进行验证数值,计算结果表明了方法准确性和有效性。
文摘The subject of the work is to propose a series of papers about adaptive finite element methods based on optimal error control estimate. This paper is the third part in a series of papers on adaptive finite element methods based on optimal error estimates for linear elliptic problems on the concave corner domains. In the preceding two papers (part 1:Adaptive finite element method based on optimal error estimate for linear elliptic problems on concave corner domain; part 2:Adaptive finite element method based on optimal error estimate for linear elliptic problems on nonconvex polygonal domains), we presented adaptive finite element methods based on the energy norm and the maximum norm. In this paper, an important result is presented and analyzed. The algorithm for error control in the energy norm and maximum norm in part 1 and part 2 in this series of papers is based on this result.
文摘This paper is the third part in a series of papers on adaptive finite elementmethods based on optimal error estimates for linear elliptic problems on the concavecorner domains. In this paper, a result is obtained. The algorithms for error controlboth in the energy norm and in the maximum norm presented in part 1 and part 2 ofthis series arc based on this result.
基金supported by National Natural Science Foundation of China (Grant No. 40772027)
文摘The oil-rich Damintun Depression is located in the Liaohe Basin, Northeast China, and was formed during the Paleogene. The major oil-producing strata in the depression are mudstone and shale. To explore the burial diagenetic history of the basin and the formation thresholds of hydrocarbons, the characters of the kaolinite subgroup minerals and mixed-layer illite/smectite in the mudstone and the shale are studied by using X-ray diffraction, electron probe, scanning electron microscope, and Fourier infrared spectrum. The kaolinite subgroup consists of kaolinite and halloysite. The kaolinite is flake-like or vermiform-like. The halloysite is in long tubular shape and its length is related to its iron content. A longer tube has lower iron content. The crystallinity of kaolinite is 0.40 ~20, and its degree of order increases from 0.03 to 1.17 with the burial depth. Kaolinite is in disorder when the buried depth is less than or equal to 2479 m, and it is partially ordered when the buried depth is greater than 2479 m. Kaolinite is supposed to turn into dickite when the depth is greater than 2550 m, but low penetrability and low poros- ity of the shale and mudstone prevent such a change. The mixed-layer illite/smectite changes from disorder to order continually as the buried depth increases. Its disorder （RoI/S）, as defined by illite layer content （I%）, is smaller than 50% at depths less than 2550.25 m. Based on Hoffman ＆ Hower＇s model, the paleo-geothermal gradients of 3.37-3.76℃/100 m （3.57℃/100 m on average） can be derived in the Paleocene Damintun Depression, which is significantly higher than the present geothermal gradient （2.9℃00 m）. The threshold depth of the oil formation in the depression is about 2550 m.
