Geologic surface approximation is profoundly affected by the presence, density and location of scattered geologic input data. Many studies have recognized the importance of utilizing varied sources of information when...Geologic surface approximation is profoundly affected by the presence, density and location of scattered geologic input data. Many studies have recognized the importance of utilizing varied sources of information when reconstructing a surface. This paper presents an improved geologic surface approximation method using a multiquadric function and borehole data. Additional information, i.e., inequality elevation and dip-strikes data extracted from outcrops or mining faces, is introduced in the form of physical constraints that control local changes in the estimated surface. Commonly accepted hypothesis states that geologic surfaces can be approximated to any desired degree of exactness by the summation of regular, mathematically defined, surfaces: in particular displaced quadric forms. The coefficients of the multiquadric functions are traditionally found by a least squares method. The addition of physical constraints in this work makes such an approach into a non-deterministic polynomial time problem. Hence we propose an objective function that represents the quality of the estimated surface and that includes the additional constraints by incorporation of a penalty function. Maximizing the smoothness of the estimated surface and its fitness to the additional constraints then allows the coefficients of the multiquadric function to be obtained by iterative methods. This method was implemented and demonstrated using data collected from the 81'st coal mining area of the Huaibei Coal Group.展开更多
Aiming at the issue of oil extraction data analysis and data display, this paper introduces an effective contour map rendering method considering constrained factors of the distribution of oil reservoir and geological...Aiming at the issue of oil extraction data analysis and data display, this paper introduces an effective contour map rendering method considering constrained factors of the distribution of oil reservoir and geological conditions. The constraints such as faults, ridges, scarps and island areas are first classified into two categories of geometries, namely, polylines and polygons. Then, a Triangulated Irregular Network (TIN) is constructed based on the geo-locations of oil wells and further refined with local constraints of polylines and polygons. Finally, the intersections of line segments between a specified equivalent surface and the triangles in TIN are calculated and the contours are thus formed by connecting these intersection line segments. The approach is well demonstrated with the oil extraction data of Xinjiang oil field in China.展开更多
基金provided by the National Science and Technology Major Project of China (Nos.2009ZX05039-004 and 2009ZX 05039-002)the National Natural Science Foundation of China (Nos.40771167 and 70621001)
文摘Geologic surface approximation is profoundly affected by the presence, density and location of scattered geologic input data. Many studies have recognized the importance of utilizing varied sources of information when reconstructing a surface. This paper presents an improved geologic surface approximation method using a multiquadric function and borehole data. Additional information, i.e., inequality elevation and dip-strikes data extracted from outcrops or mining faces, is introduced in the form of physical constraints that control local changes in the estimated surface. Commonly accepted hypothesis states that geologic surfaces can be approximated to any desired degree of exactness by the summation of regular, mathematically defined, surfaces: in particular displaced quadric forms. The coefficients of the multiquadric functions are traditionally found by a least squares method. The addition of physical constraints in this work makes such an approach into a non-deterministic polynomial time problem. Hence we propose an objective function that represents the quality of the estimated surface and that includes the additional constraints by incorporation of a penalty function. Maximizing the smoothness of the estimated surface and its fitness to the additional constraints then allows the coefficients of the multiquadric function to be obtained by iterative methods. This method was implemented and demonstrated using data collected from the 81'st coal mining area of the Huaibei Coal Group.
基金supported by the National Science and Technology Major Project of China (Nos.2009ZX05039-004 and 2009ZX05039-002)the National Natural Science Foundation of China (No.40901191)
文摘Aiming at the issue of oil extraction data analysis and data display, this paper introduces an effective contour map rendering method considering constrained factors of the distribution of oil reservoir and geological conditions. The constraints such as faults, ridges, scarps and island areas are first classified into two categories of geometries, namely, polylines and polygons. Then, a Triangulated Irregular Network (TIN) is constructed based on the geo-locations of oil wells and further refined with local constraints of polylines and polygons. Finally, the intersections of line segments between a specified equivalent surface and the triangles in TIN are calculated and the contours are thus formed by connecting these intersection line segments. The approach is well demonstrated with the oil extraction data of Xinjiang oil field in China.
