Reliability Modelling of Pipeline Failure under the Impact of Submarine Slides-Copula Method

Abstract

The instability of seabed slope sediments is the main factor influencing the safety of marine resource development. Therefore, to ensure the safe operation of submarine pipelines under complex and uncertain seabed rock and soil conditions, a reliability model was developed to elucidate the trend of impact-related pipeline damage due to submarine slides. Then, a risk assessment of the damage process of submarine slides impacting pipelines was conducted, which is of great significance for the in-depth safety assessment of pipelines impacted by submarine slides. Based on the copula function, a joint probability distribution model considering the correlation among risk variables was established for rational correlation characterization. A probability analysis method of impact-related pipeline damage attributed to submarine slides based on the copula function was proposed. The Monte Carlo simulation (MCS) method was employed to simulate the random uncertainty in limited observation values and accurately determine the reliability of safe pipeline operation under the action of submarine slides. The conclusions were as follows: (1) Based on the copula function, a joint probability distribution model of risk variables with any marginal distribution function and related structure could be developed. (2) The copula function could reasonably characterize relevant nonnormal distribution characteristics of risk variables and could simulate samples conforming to the distribution pattern of the risk variables. (3) The failure probability calculated with the traditional independent normal distribution model was very low, which could result in a notable overestimation of the reliability of submarine pipelines.

Investigating the Number of Monte Carlo Simulations for Statistically Stationary Model Outputs

“…Geotechnical engineering problems are often complex and involve non-linear relationships between inputs and outputs, making it difficult to obtain explicit relationships or closed-form solutions (e.g., [8][9][10][11]). Therefore, numerical methods, such as finite element or finite difference methods, are commonly used to solve geotechnical engineering problems.…”

Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics

“…The article written by Song et al [4] developed a reliability model to elucidate the trend of impact-related pipeline damage due to submarine slides. A probability analysis method of impact-related pipeline damage attributed to submarine slides based on the copula function was proposed.…”