INTEGRAL FORMULATION FOR MIGRATION IN TWO AND THREE DIMENSIONS
INTEGRAL FORMULATION FOR MIGRATION IN TWO AND THREE DIMENSIONS
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DOI：
10.1190/1.1440828
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发表时间：
1978-02
期刊：
影响因子：
3.3
通讯作者：
W. Schneider
中科院分区：
文献类型：
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作者：
W. Schneider
地震资料的计算机偏移出现于20世纪60年代末，是基于波前图和衍射曲线的人工偏移技术的自然产物。沿衍射双曲线的求和（积分）被认为是一种自动化点到点坐标变换的方法，这种变换是由解译人员在将反射从x， t（旅行时间）域映射到x， z（深度域）时执行的。我们将讨论作为标量波动方程解的偏移的数学公式，其中地表地震观测值是已知的边界值。该边值问题的求解遵循标准技术，当存在面或三维覆盖时，将迁移图像表示为已知地震观测的表面积分。如果只有二维地震覆盖，通过假设地下和地面记录数据不垂直于地震剖面变化，波动方程偏移仍然是可能的。根据这个假设，曲面积分…
Computer migration of seismic data emerged in the late 1960s as a natural outgrowth of manual migration techniques based on wavefront charts and diffraction curves. Summation (integration) along a diffraction hyperbola was recognized as a way to automate the familiar point‐to‐point coordinate transformation performed by interpreters in mapping reflections from the x, t (traveltime) domain into the x, z (depth domain). We will discuss the mathematical formulation of migration as a solution to the scalar wave equation in which surface seismic observations are the known boundary values. Solution of this boundary value problem follows standard techniques, and the migrated image is expressed as a surface integral over the known seismic observations when areal or 3-D overage exists. If only 2-D seismic coverage is available, wave equation migration is still possible by assuming the subsurface and hence surface recorded data do not vary perpendicular to the seismic profile. With this assumption, the surface inte...