In a blender, combine the chopped cucumbers, ice, water, grapeseed oil, lemon juice and half each of the jalapeño and mint and puree. Season with salt and refrigerate until cold.
Meanwhile, blanch the borage in boiling salted water for 5 seconds. Drain, rinse and squeeze dry. Finely chop the borage.
Pour the cucumber soup into bowls and garnish with the diced cucumber, borage, yogurt and the remaining jalapeño and mint. Drizzle the soup with olive oil and serve.