水力压裂裂缝扩展的python代码

以下是一个简单的水力压裂裂缝扩展模拟的Python代码示例：

import numpy as np
import matplotlib.pyplot as plt

def hydraulic_fracturing(length, height, num_iterations, fluid_pressure):
    # 创建模拟网格
    grid = np.zeros((length, height))

    # 初始化施加压力的位置
    pressure_point = (length // 2, height // 2)

    for i in range(num_iterations):
        # 在施加压力的位置增加液体压力
        grid[pressure_point] += fluid_pressure

        # 扩展压力到相邻节点
        for x in range(length):
            for y in range(height):
                if grid[x, y] > 0:
                    # 扩展到相邻的四个节点
                    if x > 0:
                        grid[x-1, y] += grid[x, y]
                    if x < length - 1:
                        grid[x+1, y] += grid[x, y]
                    if y > 0:
                        grid[x, y-1] += grid[x, y]
                    if y < height - 1:
                        grid[x, y+1] += grid[x, y]

        # 清除施加压力的位置的液体压力
        grid[pressure_point] = 0

    return grid

# 设置模拟参数
length = 50
height = 50
num_iterations = 100
fluid_pressure = 10

# 运行水力压裂模拟
result_grid = hydraulic_fracturing(length, height, num_iterations, fluid_pressure)

# 绘制结果
plt