This paper proposes a novel method for simulating a three-dimensional (3D) random field conditional on site data. It is based on the assumption of separable auto-correlation in the vertical and horizontal directions. This novel method adopts special simulation techniques so that it can handle incomplete site data (e.g., missing data at some depths). Moreover, it can simulate a 3D conditional random field in a computationally efficient way without the need to invert and store large matrices. The proposed method simulates a 3D conditional random field with two steps. The first step simulates the missing site data to make the site data complete. The second step simulates the conditional random field at locations not explored by the soundings/boreholes. A simulated example is adopted to illustrate the effectiveness of the proposed method.

本文提出了一种新的方法来模拟以站点数据为条件的三维（3D）随机场。它基于垂直和水平方向上可分离的自相关的假设。这种新颖的方法采用了特殊的模拟技术，因此可以处理不完整的站点数据（例如，某些深度的数据丢失）。此外，它可以以计算有效的方式模拟3D条件随机场，而无需反转和存储大型矩阵。所提出的方法通过两个步骤来模拟3D条件随机场。第一步是模拟丢失的站点数据以使站点数据完整。第二步模拟未由测深/钻孔探测到的位置处的条件随机场。仿真例子说明了该方法的有效性。