多管藻内生真菌Chaetomium globosum.苯甲醛类次生代谢成分研究

从采自青岛近海的红藻多管藻(Polysiphonia urceolata)中分离到一株毛壳霉属真菌球毛壳菌(Chaetomium globosum.),对其发酵代谢产物的化学成分进行了研究。采用溶剂提取、分配,硅胶柱层析、葡聚糖凝胶柱层析以及制备薄层层析等技术已分离获得6个单体化合物,通过一维、二维超导核磁共振技术、质谱技术等鉴定了其中4个化合物的结构,均为苯甲醛类衍生物,分别为2-(1-庚烯基)-3、6-二羟基-5-(3-甲基-2-丁烯基)苯甲醛(Ⅰ)、2-庚基-3、6-二羟基-5-(3-甲基-2-丁烯基)苯甲醛(Ⅱ)、2-(3、5-庚二烯基)-3、6-二羟基-5-(3-甲基-2-丁烯基)苯甲醛(Ⅲ)、2-(1、3、5-庚三烯基)-3、6-二羟基-5-(3-甲基-2-丁烯基)苯甲醛(Ⅳ)。     

Optimizing a layered and laterally constrained 2D inversion of resistivity data using Broyden's update and 1D derivatives

Dense profile-oriented resistivity data allows for 2D and 3D inversions. However, huge amounts of data make it practically impossible to do full 2D or 3D inversions on a routine basis. Therefore, a number of approximations have been suggested over the years to speed up computations. We suggest using a combination of Broyden's update on the Jacobian matrix with derivatives calculated using a 1D formulation on a parameterized 2D model of locally 1D layered models. The approximations bring down the effective number of 2D forward responses to a minimum, which again gives us the ability to invert very large sections. Broyden's update is not as useful with a parameterized problem as is the case with a smooth minimum structure problem that has been the usual application. 1D derivatives, however, seem to be very effective when initiating a full 2D solution with Broyden's update. We compare the different methods using two different kinds of data on two synthetic models and on two field examples. The most effective and reliable optimization combines 1D derivatives with a full 2D solution and Broyden's update. When using Broyden's update the Jacobian matrix needs to be reset every once in a while. We do this whenever the difference in data residual from the previous iteration is less than 5%. This combined inversion method reduces the computation time approximately a factor of 3 without losing model resolution.     

利用位场及其高阶导数的功率谱计算岩层的深度与厚度

本文导出了利用重力与磁异常及其高阶导数的功率谱计算密度体和磁性体上顶与下底埋深的近似公式,还提供了利用垂向或水平导数谱计算深度的方法。理论模型的试验结果表明,由近似公式计算的精度可以满足实际需要。本文最后根据一条重力剖面资料,计算了密度层上、下界面。     

直流激电测深二维反演的若干问题研究

目前,激电数据的二维反演主要针对高密度激电数据,而对于常规的激电测深则很少涉及.据此,针对常规激电测深二维反演所涉及到的一些技术难点进行探讨.在正演过程中,根据实测数据实现有限元网格自动剖分,并采用双网格系统,用相邻节点电导率双线性连续进行有限元模拟,并对模拟的误差进行校正.在反演过程中,利用互换原理和Broyden的方法计算偏导数矩阵;采用与奇异值分解算法精度相当的共轭梯度算法求解偏导数矩阵方程.最后通过对模拟数据和实测数据进行反演试算,验证本计算方法是可行的.     

Derivatives of the Gravity Potential with Respect to Rectangular Coordinates

Starting from a complex operator of derivation, we give expressions for derivatives of arbitrary order of the gravity potential with respect to rectangular coordinates. These expressions have a form similar to the original potential expanded in spherical harmonics and are free of singularity at the poles. Computing sets of numerical coefficients once for all, we can compute the derivatives with a very limited work: the same functions are used to compute all derivatives by means of a unique parametrized formula. This is very comfortable for further algebraic manipulations. Numerical tests prove the accuracy and the efficiency of the algorithm derived from our formula to compute the gravity acceleration vector and the gravity gradient tensor.