我不知道你到底想要什么\'term_single\' 格式，但如果不完全符合您的要求，您可以根据需要修改以下内容。

我还建议不要用这个名字$posts 对于您的阵列，因为我相信WP有一个同名的全局，所以它可能会导致不受欢迎的有趣性。

最后，当您处于循环中时，您可以使用简单的函数来获取所需的所有信息（ID、名称等）-check out the Codex.

$query = new WP_Query($criterias);
if($query->have_posts()) : while ($query->have_posts()) : $query->the_post();

        /** Get all terms (as objects) from the \'idm_real_tax\' taxonomy that are associated with this Post */
        $terms = get_the_terms(get_the_ID(), \'idm_real_tax\');

        /** Check that \'$terms\' is not empty */
        if($terms && !is_wp_error($terms)) :    // It\'s not...

            $term_names = array();  // Pre-stage to avoid errors

            /** Loop through each term object and add just the name to the \'$term_names\' array */
            foreach($terms as $term) :
                $term_names[] = $term->name;
            endif

            /** Join all of the term names together to make a comman seperated string of term names */
            $term_names_string = (!empty($term_names)) ? join(", ", $term_names) : \'\';

        endif;

        $my_posts[] = array(
            \'id\'                => get_the_ID(),
            \'permalink\'         => get_permalink(),
            \'title\'             => get_the_title(),
            \'excerpt\'           => get_the_excerpt(),
            \'thumbnail\'         => get_the_post_thumbnail(get_the_ID(), \'carrousel-realisation\'),
            \'pager_thumbnail\'   => get_the_post_thumbnail(get_the_ID(), \'thumbnail\', array(\'class\' => \'img-thumbnail img-responsive\')), 
            \'term_single\'       => $term_names
        );

    endwhile;
endif;